✅Answer: The answer to the question becomes clear by carefully examining the following narrations:

1 عَنِ ابْنِ أَبِي نَجْرَانَ عَنْ رَجُلٍ عَنْ أَبِي عَبْدِ اللَّهِ قَالَ: مَنْ سَبَّحَ اللَّهَ فِي دُبُرِ الْفَرِيضَةِ تَسْبِيحَ فَاطِمَةَ الْمِائَةَ مَرَّةٍ وَ أَتْبَعَهَا بِلَا إِلَهَ إِلَّا اللَّهُ مَرَّةًغُفِرَ الله لَهُ.

📚Al-Kafi, Vol. 3, p. 342

Translation: Imam Sadiq (peace be upon him) said: 'Whoever says the Tasbih of Fatimah al-Zahra (peace be upon her) after an obligatory prayer, which is one hundred counts, and then says 'La ilaha illa Allah' after it, Allah will grant him forgiveness.'

2 عَنْ مُحَمَّدِ بْنِ مُسْلِمٍ قَالَ: قَالَ أَبُو جَعْفَرٍ مَنْ سَبَّحَ تَسْبِيحَ فَاطِمَةَ ثُمَّ اسْتَغْفَرَ غُفِرَ لَهُ وَ هِيَ مِائَةٌ بِاللِّسَانِ وَ أَلْفٌ فِي الْمِيزَانِ وَ تَطْرُدُ الشَّيْطَانَ وَ تُرْضِي الرَّحْمَنَ.

📚Thawab al-A'mal, p. 196

Translation: Imam Baqir (peace be upon him) said: 'Whoever says the Tasbihat of Lady Fatimah (peace be upon her) and then seeks forgiveness, he will be forgiven, and it is one hundred on the tongue but a thousand in the scale of deeds, and it drives away Satan and pleases the Most Merciful God.'

3️⃣Wahb said: 'I heard Imam Sadiq (peace be upon him) say: 'Whoever says the Tasbihat of Lady Fatimah (peace be upon her) and begins with 'Allahu Akbar' 34 times, and says 'Subhan Allah' 33 times and connects the tasbih to the takbir, and also says 'Alhamdulillah' 33 times and connects the alhamdulillah to the subhan allah, and after finishing the alhamdulillah, he says: 'Allah will forgive all his sins and will grant him well-being from poverty, need, madness, leprosy, vitiligo, and an evil death, and from every calamity that descends from the sky to the earth, from that day and that hour and that month and that year until a year passes. And He will write for him the testimony of sincerity (i.e., the acknowledgment of 'La ilaha illa Allah') along with its reward, which is paradise, until the Day of Resurrection.' I said to the Imam: 'Will this reward be for him if he says it every day from this year to the next?' The Imam said: 'No, this reward will be for him if he says it once from this year to the next, and it will be written for him and it will be sufficient for him until the next year comes, at such an hour, and on such a day, and in such a month.'

لَا إِلَهَ إِلَّا اللَّهُ- إِنَّ اللَّهَ وَ مَلائِکَتَهُ یُصَلُّونَ عَلَی النَّبِیِّ یا أَیُّهَا الَّذِینَ آمَنُوا صَلُّوا عَلَیْهِ وَ سَلِّمُوا تَسْلِیماً لَبَّیْکَ رَبَّنَا لَبَّیْکَ وَ سَعْدَیْکَ- اللَّهُمَّ صَلِّ عَلَی مُحَمَّدٍ وَ آلِ مُحَمَّدٍ وَ عَلَی أَهْلِ بَیْتِ مُحَمَّدٍ وَ عَلَی ذُرِّیَّةِ مُحَمَّدٍ وَ السَّلَامُ عَلَیْهِ وَ عَلَیْهِمْ وَ رَحْمَةُ اللَّهِ وَ بَرَکَاتُهُ وَ أَشْهَدُ أَنَّ التَّسْلِیمَ مِنَّا لَهُمْ وَ الِایتِمَامَ بِهِمْ وَ التَّصْدِیقَ لَهُمْ رَبَّنَا آمَنَّا وَ صَدَّقْنَا وَ اتَّبَعْنَا الرَّسُولَ فَاکْتُبْنا مَعَ الشَّاهِدِینَ اللَّهُمَّ صُبَّ الرِّزْقَ عَلَیْنَا صَبّاً صَبّاً بَلَاغاً لِلْآخِرَةِ وَ الدُّنْیَا مِنْ غَیْرِ کَدٍّ وَ لَا نَکَدٍ وَ لَا مِنْ مَنِّ أَحَدٍ مِنْ خَلْقِکَ إِلَّا سَعَةً مِنْ رِزْقِکَ وَ طَیِّباً مِنْ وُسْعِکَ مِنْ یَدِکَ الْمَلْأَی عَفَافاً لَا مِنْ أَیْدِی لِئَامِ خَلْقِکَ إِنَّکَ عَلَی کُلِّ شَیْ ءٍ قَدِیرٌ اللَّهُمَّ اجْعَلِ النُّورَ فِی بَصَرِی وَ الْبَصِیرَةَ فِی دِینِی وَ الْیَقِینَ فِی قَلْبِی وَ الْإِخْلَاصَ فِی عَمَلِی وَ السَّعَةَ فِی رِزْقِی وَ ذِکْرَکَ بِاللَّیْلِ وَ النَّهَارِ عَلَی لِسَانِی وَ الشُّکْرَ لَکَ أَبَداً مَا أَبْقَیْتَنِی اللَّهُمَّ لَا تَجِدُنِی حَیْثُ نَهَیْتَنِی وَ بَارِکْ لِی فِیمَا أَعْطَیْتَنِی وَ ارْحَمْنِی إِذَا تَوَفَّیْتَنِی إِنَّکَ عَلَی کُلِّ شَیْ ءٍ قَدِیرٌ

📚Falah al-Sa'il, p. 135

✅Regarding the order of the Tasbihat of Lady Fatimah (peace be upon her), in some narrations, the tasbih is said after the takbir, of which the above narration is an example, and in some other narrations, the alhamdulillah is said after the takbir.

✅Let's all benefit from the great and easy blessing of the third narration and spread it so that, God willing, the sender also receives a reward.

The effects and blessings of the Tasbihat of Lady Fatimah

peace be upon her