If the narration reported about this matter is authentic, because I do not know of any authentication or criticism regarding Abu Suwayyah.

It is narrated from Sayyiduna Abdullah bin Amr bin al-As (may Allah be pleased with him) that the Messenger of Allah (peace and blessings be upon him) said: "Whoever recites ten verses during the night prayer will not be written among the heedless, and whoever stands (in prayer) reciting one hundred verses will be written among the obedient, and whoever prays reciting one thousand verses will be written among those who have attained great goodness and blessings."

Sayyiduna Abdullah bin Amr bin Al-As (may Allah be pleased with him) narrates from the Noble Prophet (peace and blessings be upon him) that he (peace be upon him) said: "The most beloved prayer to Allah Almighty is the prayer of Dawud (peace be upon him); he would sleep for half the night, pray for a third of the night, and then sleep for a sixth of the night (the last part). And the most beloved fast to Allah Almighty is the fast of Dawud (peace be upon him); he would fast one day and break his fast the next day."

Sayyiduna Abu Hurairah and Sayyiduna Abu Sa'id Khudri (may Allah be pleased with them) bear witness regarding the Messenger of Allah (peace and blessings be upon him) that he said: "Indeed, Allah gives respite until a third of the night has passed. Then He descends (to the lowest heaven) and says: 'Is there anyone who asks, so that I may give him? Is there anyone who repents, so that I may accept his repentance? Is there anyone who seeks forgiveness for sins, so that I may forgive him?'" A man asked the Prophet (peace and blessings be upon him): "Does this (series of mercy and blessings) continue until the break of dawn?" The Prophet (peace and blessings be upon him) replied: "Yes."

Sayyiduna Amr bin Abasah (may Allah be pleased with him) narrates that I presented myself before the Messenger of Allah (peace and blessings be upon him) when he was sitting in the market of ‘Ukaz. Then he narrated the complete hadith. He says: I asked,“O Messenger of Allah, is there any supplication that is closer to acceptance than another, or is there any moment that is closer to acceptance than another?”The Prophet (peace and blessings be upon him) said:“Yes, indeed, in the middle of the last (half) part of the night, the Lord, Blessed and Exalted, is very close to His servant. Therefore, if you have the ability to be among those who remember Allah at that hour, then be among them.”

Sayyiduna Abu Hurairah (may Allah be pleased with him) narrates that the Messenger of Allah (peace and blessings be upon him) said: "May Allah have mercy on the man who gets up at night to pray and also wakes up his wife (for Tahajjud). If she refuses, he sprinkles water on her face. And may Allah have mercy on the woman who wakes up at night, prays, and wakes up her husband as well. If he refuses (to get up), she sprinkles water on his face (so that he gets up)."

Sayyiduna Hudhaifah (may Allah be pleased with him) narrates that when the Prophet (peace and blessings of Allah be upon him) would wake up at night for Tahajjud, he would clean his blessed mouth with a miswak. Janab Harun and Abu Husayn have narrated in their version these words: "When he (peace be upon him) would get up and perform Tahajjud."

Sayyiduna Abu Hurairah (may Allah be pleased with him) narrates from the Messenger of Allah (peace and blessings be upon him) that he (peace and blessings be upon him) said: "When any one of you gets up at night for the Tahajjud prayer, he should begin his prayer with two light and short rak‘ahs."

Sayyiduna Ibn Abbas (may Allah be pleased with them both) narrates that when the Prophet Muhammad (peace be upon him) would get up at night for Tahajjud, he would recite this supplication: «‏‏‏‏اللَّهُمَّ لَكَ الْحَمْدُ، أَنْتَ نُورُ السَّمَوَاتِ وَالأَرْضِ وَمَنْ فِيهِنَّ، وَلَكَ الْحَمْدُ أَنْتَ قَيِّمُ السَّمَوَاتِ وَالأَرْضِ وَمَنْ فِيهِنَّ، وَلَكَ الْحَمْدُ أَنْتَ مَلِكُ السَّمَاوَاتِ وَالْأَرْضِ وَمَنْ فِيهِنَّ، وَلَكَ الْحَمْدُ، أَنْتَ الْحَقُّ وَوَعْدُكَ حَقٌّ، وَقَوْلُكَ حَقٌّ، وَلِقَاؤُكَ حَقٌّ، وَالْجَنَّةُ حَقٌّ، وَالنَّارُ حَقٌّ، وَالسَّاعَةُ حَقٌّ، وَالنَّبِيُّونَ حَقٌّ، وَمُحَمَّدٌ حَقٌّ، اللَّهُمَّ لَكَ أَسْلَمْتُ وَعَلَيْكَ تَوَكَّلْتُ وَبِكَ آمَنْتُ، وَإِلَيْكَ أَنَبْتُ، وَبِكَ خَاصَمْتُ، وَإِلَيْكَ حَاكَمْتُ، فَاغْفِرْ لِي مَا قَدَّمْتُ وَمَا أَخَّرْتُ، وَمَا أَسْرَرْتُ، وَمَا أَعْلَنْتُ، أَنْتَ الْمُقَدِّمُ وَأَنْتَ الْمُؤَخِّرُ لاَ إِلَهَ إِلاَّ أَنْتَ ـ أَوْ ـ لاَ إِلَهَ غَيْرُكَ ‏» . "O Allah, all praise is for You; You are the Light of the heavens, the earth, and whatever is in them. And all praise is for You; You are the Sustainer and Maintainer of the heavens, the earth, and whatever is within them. All praise is for You; You are the Owner of the heavens, the earth, and whatever is in them. All praise is due to You alone; You are the Truth, and meeting You is the truth, Your promise and punishment are true, and the punishment of the grave is true—Paradise is true, Hell is also true, the Hour is true, the graves are true, and Muhammad is true and truthful. O Allah, I have believed in You, I have submitted to You, I have placed my trust in You, and I have turned towards You, and with Your guidance and proofs I dispute (with Your opponents), and I seek judgment from You. So forgive my past and future sins, my hidden and open sins—all of them. You are the One Who brings forward and the One Who delays. There is no deity worthy of worship except You, and none is worthy of worship besides You." Abdul Kareem narrated these additional words: "There is no true deity except You, and all strength and power is only with Allah's help."

Sayyiduna Ibn Abbas (may Allah be pleased with them both) narrates that when the Messenger of Allah (peace and blessings be upon him) would stand for the Tahajjud prayer, after saying the Takbir, he would recite this (praise and supplication): «‏‏‏‏اللَّهُمَّ لَكَ الْحَمْدُ أَنْتَ نُورُ السَّمَاوَاتِ وَالْأَرْضِ، وَلَكَ الْحَمْدُ أَنْتَ قِيَامُ السَّمَاوَاتِ وَالْأَرْضِ، وَلَكَ الْحَمْدُ أَنْتَ رَبُّ السَّمَاوَاتِ وَالْأَرْضِ وَمَنْ فِيهِنَّ، أَنْتَ الْحَقُّ وَقَوْلُكَ حَقٌّ، وَ وَعْدُكَ الْحَقُّ، وَلِقَاؤُكَ حَقٌّ، وَالْجَنَّةُ حَقٌّ، وَالنَّارُ حَقٌّ، وَالسَّاعَةُ حَقٌّ، اللَّهُمَّ لَكَ أَسْلَمْتُ، وَبِكَ آمَنْتُ، وَعَلَيْكَ تَوَكَّلْتُ، وَإِلَيْكَ أَنَبْتُ، وَإِلَيْكَ أَنَبْتُ، وَإِلَيْكَ حَاكَمْتُ، وَإِلَيْكَ خَاصَمْتُ، وَإِلَيْكَ الْمَصِیْرُ، اللَّهُمَّ اغْفِرْلِي مَا قَدَّمْتُ وَمَا أَخَّرْتُ، وَمَا أَسْرَرْتُ، وَمَا أَعْلَنْتُ، أَنْتَ إِلٰھِیْ لاَ إِلَهَ إِلاَّ أَنْتَ» ‏‏‏‏ "O Allah, all praise is for You, You are the Light of the heavens and the earth, and all praise is due to You. You are the Sustainer and Maintainer of the heavens and the earth, and all praise is for You. You are the Lord of the heavens, the earth, and whatever is in them. You are the Truth, Your word is true, Your promise is true, the meeting with You is true, Paradise is true, Hell is true, and the Hour is true. O Allah, I submit to You, I believe in You, I put my trust in You, I turn to You, I seek judgment from You, and I argue by Your help, and to You is the return. O Allah, forgive my past and future sins, my hidden and open sins. You are my God, there is no true god except You."