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Bismillahir Rahmaan ir Raheem la haula wa la quwwata illa billahil ‘Ali il azeem
Do the same after the morning (Fajr) prayers. Allah will ward away a hundred evils from you because there is Ism al-Azam in these words.
Imam Ja’far As-Sadiq (as) has said: When a person recites the following ten times before the sunrise and before the sunset every day, all his sins committed on that day will be pardoned:

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La ilaha il Allaho wahdahu la shareeka lahu lahul mulko wa lahul hamdo yohi wa yumeeto wa yohi wa huwa hayyun la yamooto be yadahil khaire wa huwa ala kulle shaiyin qadeer
Imam Muhammad Al-Baqir (as) has said, “One who recites the Salawat on Muhammad and his progeny ten times at dawn and repeats the following words

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Subhan Allah (35 times)

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La ilaha il Allah (35 times)

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Alhamdu lillah (35 times)
And repeats the same at dusk, then he will be counted as those who are busy supplicating to Allah throughout the day. And one who says allaho Akbar a hundred times at dawn and at dusk, he will get Reward equal to releasing a hundred slaves.
It is narrated that the Prophet of Allah (S) used to revite three hundred and sixty times every dawn and dusk the following

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Alhamdu lillahi rabbilaalimeen kateeran ala kulle haalin
He (S) said that there are 360 veins in the human body. Of them 180 are mobile and the other 180 are static. If, even one mobile vein becomes static, or any of the static veins becomes mobile, then the person doesn’t get the sleep and remains restless the whole night. He should therefore regularly recite the invocation mentioned above.
It is narrated from Imam Muhammad Al-Baqir (as) that one should recite the following invocation in the mornings:

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I have risen with belief in Allah and on the faith of Mohammad and his tradition and the faith of ‘Ali and his his Asbahto billahi moomenan ala deene Muhammadin wa Sunnaehi wa deenil ausiae wa Sunnaehim aamanto besirrehim wa alniyatehim wa shahedehim wa ghayebehim wa aaoozu billahi mimma asta aaza minhu rasoolillahi sal allaho alaihi wa aalehi wa alal ausiyae salawaat ullahi alaihim wa arghub ilallahi feeha raghebu ilaihi wa la haula wa la quwwata illa billahi.
It is also narrated from the Prophet of Allah (S) that one who recites the following supplication before the sunrise, an angel will take it on its wings and go to the Firmament. When it arrives there, the other angels ask him what it was carrying. It says that it was carrying the supplication of a Mu’min. The angels then pray to Allah for the acceptance of the Mu’min’s supplication. Similarly all the angels and the people of the Firmament will pray on his behalf. This supplication is treasured with the record of the good deeds of the Mu’min.

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“Allah is the Most Great, Allah is the Most Great, and Glory to Allah in the morning and sunset, and plenty of praise to Allah the Lord of the worlds, He has no partner, and may Allah send his blessings upon Mohammad and the children of Mohammad?”
Prophet Ibrahim (as) used to recite the following supplication thrice every morning. Allah used to keep him safe from all calamities the whole day:

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“I have risen in praise to my Lord, I have risen and I do not accept parteners with Allah and I do not seek with Allah another lord and I do not see any guardian but Him?”
It is narrated from Imam Muhammad Al-Baqir (as) that before talking to anyone in the morning, one should recite the Sura al-Qadr and blow on the Aqeeq stone (cornelian) and then recite the following supplication:

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“I believe in Allah alone without any partner and I disbelieve in idols and false deities and I believe in what is kept safe and secret and what is announced by the children of Mohammad and by what they reveal and hide, and in the first and last amongst them. ?”
Then Allah will save him from all calamities that day.
It is narrated from Amir’ul-Mu’mineen (as) that anyone who recites the following verse three times at the time of Maghrib prayer, till the next morning he will not suffer any loss and he will be safe from natural calamities:
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“So glory be to Allah when you enter the night and when you enter the morning and unto Him be praise in the heavens and the earth! - and at the sun's decline and in the noonday.”– 30.18
Amir’ul-Mu’mineen has said that anyone who recited three times the following words every morning and evening, then Allah will certainly enter him into the Heaven:

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“I am satisfied to have Allah as my Lord and Islam as my faith and Mohammad, may Allah send His blessings upon him and his children,as a prophet, and Qur’an as a warner, and ‘Ali and the appointed ones among his children as Imams.?”
Imam Ja’far As-Sadiq (as) has said that one who recites the following words 25 times every day, then Allah will write one virtue in the names of all the Mu’mins from Adam (as) till the Day of Reckoning and to that individual he will Reward equal to that of all the Mu’mins:

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“O Allah bestow your forgiveness to the believers(men and women), and to muslims(men and women).”
Halqam asked Imam Ja’far As-Sadiq (as), ‘Ya Bin Rasool Allah (as)! Teach me a supplication that will be beneficial for me now and also in the Hereafter.” The Imam said: After the Fajr prayer, till the dawn, recite the following:

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“Glory is to Allah the great and praise is to Him, I seek forgiveness from Allah and I ask Him His grace.? ”

Supplications After Every Mandatory Prayer
In the supplications to be recited after eyery mandatory prayer, the best is the Tasbeeh al-Fatima (as). It requires reciting:

Allaho Akbar, Allah is the Greatest (34 times)

Alhamdu lillah, Praise is for Allah (33 times)

Subhan Allah, Glory is to Allah (33 times)
Imam Muhammad Al-Baqir (as) has said that after every mandatory prayer, there is no better invocation than the Tasbeeh al-Fatima (as). If there was any other, more effective, way of Praising Allah, the Prophet (S) would most certainly haveinstructed his daughter about that.
Imam Ja’far As-Sadiq has said that reciting the Tasbeeh al-Fatima (as) after every compulsory prayer is better than performing a thousand genuflections. One should say once after reciting the Tasbeeh the following words:

La ilaha il Allah, There is no God save He
Imam Muhammad Al-Baqir (as) has said, One who sits quietly after each mandatory prayer and recites thrice the following words, Allah will pardon all his sins:

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“I seek forgiveness from the Lord (testifying) There is no God other than Him The Living and the Everlasting Of Majesty and Splendour And I turn to Him In Repentence!”
Imam Ja’far As-Sadiq has said that if a person recites thirty times the following words after each compulsory prayer, all his sins will be pardoned:

Subhan Allah, Glory is to Allah
It is narrated from Amir’ul-Mu’mineen (as) if one desires to depart from this world as innocent as he was at his birth, then he should recite the Sura al-Iqlaas twelve times after every compulsory prayer and then raise his hands towards the sky and recite the following invocation:

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“O Allah, I ask You by Your hidden, safeguarded, pure, purifying and blessed name, and I ask You by Your great name and Your everexisting power, O Giver of gifts and unleasher of captives, who unties necks from the hellfire, I ask you to send blessings on Mohammad and the children of Mohammad, and to free my neck from the hellfire, and to save my faith in this world and to let me into paradise, and to help me ask for wishes that start with prosperity, and continue in success, and end with goodness. إِنَّكَ أَنْتَ عَلامُ الغُيُوبِ). You are indeed the Knower of the Unseen”
Imam Ar-Ridha’ (as) was asked about the method of offering salutations to the Prophet (S) and his Ahl-ul-Bayt (as) after the mandatory prayers. The Imam (as) asked one to say the following:

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“Peace be upon you O Messenger of Allah and His mercy and blessings be upon you, Peace be upon you O Mohammad son of Abdullah, Peace be upon you O Elect of Allah, Peace be upon you O Beloved of Allah, Peace be upon you O Preferred by Allah, Peace be upon you O Trustee of Allah , I testify that you are His Messenger, and you are Muhammad son of Abdullah; and I testify that you had advised your community (Ummah) and that you have strived in the path of your Lord, and that you have worshipped Him until the end,so may Allah reward you, O Messenger of Allah, with the best reward a Prophet or a Messenger ever received on behalf of his Community, O Allah send blessings on Mohammad and the children of Mohammad more pleasant than the blessings on Ibrahim and the children of Ibrahim, verily You are worthy of praise and glory.”
It is narrated from Imam Ja’far As-Sadiq (as) that after every mandatory prayer he continued sitting at the place of the prayer till he cursed four accursed men andfour accursed women of the ummat.

Invocations After Zuhr Prayer
It is narrated from Amir’ul-Mu’mineen ‘Ali (as) that the Prophet of Allah (S) used to recite the following supplication after the Zuhr prayer.

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“In the name of Allah, the Beneficent, the Merciful.
There is no god But Allah, the Great, the Clement: there is no god but Allah, the Lord of ‘Arsh (the throne) of Grace; and all praise is for Allah, the Lord of the worlds: O’ Allah I beseech Thee for all that time which is the cause of Thy Mercy, and that which ascertain Thy Forgiveness: and the benefit of every virtue, and safety from every sin: O’ Allah leave not any sin on me but that You forgive it, and any affliction but that You remove it, and any illness but that You heal it, and any defect but that You conceal it, and any subsistence but that You increase it, and any fear but that You protect (me) from it; and any evil but that You repel it, an any of my need in which is Thy pleasure and which is beneficial for me, but that You grant it; O’ that Most Merciful, grant me my supplication, O’ the Lord of the worlds”

The Supplication After Asr Prayer
Imam Ja’far As-Sadiq has said that a person who says Asthgfar seventy time after the Asr prayer, Allah will pardon his seven hundred sins. If he doesn’t have so many sins in his account, Allah will pardon the sins of his parents or other relatives.
The Prophet of Allah (S) has said that the person who recites Astaghfar once after the Asr prayer, Allah will forgive all his sins. The Astaghfar is as follows

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“I ask forgiveness of Allah, (who is) "There is no god save He," everliving, eternal, beneficent, merciful, owner of might and majesty. I beseech Him to accept my repentance, the repentance of a servant-insignificant, submissive, destitute, needy, worried and helpless seeking protection, who, on his own, neither can win nor lose, nor die, nor live, nor come to life again.”

The Invocations After The Late Night Prayers
Imam Muhammad Taqi (as) has said that one who recites the verse Inna anzalna after the mandatory maghribain prayers, he will remain in the care of Allah till the morning.
Sheik Toosi has said that after the late night prayer (namaz al-Shab) one should recite ten times Surat Al-Fatiha, Sura Qul huwalla, Sura Qul auzu berabbil naas, Sura Qul auzu Berabbil falaq. Also recite ten times Tasbeehaat al-Arba and the Salawat.