Regarding the narration:
قَالَ حَدَّثَنَا هِشَامٌ، قَالَ أَخْبَرَنِي أَبِي قَالَتْ، عَائِشَةُ ابْنَ أُخْتِي مَا تَرَكَ النَّبِيُّ صلى الله عليه وسلم السَّجْدَتَيْنِ بَعْدَ الْعَصْرِ عِنْدِي قَطُّ.
Narrated Hisham’s father:
`Aisha (addressing me) said, “O son of my sister! The Prophet (ﷺ) never missed two prostrations (i.e. rak`at) after the `Asr prayer in my house.”
Sahih al-Bukhari 591
the correct opinion is that this is something confined to the Prophet صلى الله عليه وسلم. For that reason, Umar bin al-Khattaab used to hit with his stick those who he would see praying after Asr.
The Lajnah Daa’imah stated:
“It is not permissible to perform Nafilah (supererogatory) Salah after the ‘Asr prayer, because this is the time when voluntary Salah is forbidden and what the Prophet (peace be upon him) did in the Hadith mentioned above was to make up for the Sunnah Ratibah (supererogatory Prayer performed on a regular basis) for the Zhuhr (Noon) Prayer that he had missed. He (peace be upon him) did this regularly, because it was his habit (peace be upon him) that if he did some religious act he would continue doing it regularly, and this was particular for him (peace be upon him) alone. However, it is permissible to perform Salah after ‘Asr if it is for a particular reason, such as Tahiyyat-ul-Masjid (two-unit Prayer to salute the mosque), Salat-ul-Kusuf (Prayer at the time of a solar eclipse), the two Rak‘ahs after Tawaf (circumambulation around the Ka‘bah) following the ‘Asr and Fajr Prayers, and the Funeral Prayer, due to the Hadith mentioned in this regard.”
May Allah grant us success.May peace and blessings be upon our Prophet Muhammad, his family, and Companions.
Permanent Committee for Scholarly Research and Ifta’” End quote. [Reference]
عَنْ مُخْتَارِ بْنِ فُلْفُلٍ، قَالَ سَأَلْتُ أَنَسَ بْنَ مَالِكٍ عَنِ التَّطَوُّعِ، بَعْدَ الْعَصْرِ فَقَالَ كَانَ عُمَرُ يَضْرِبُ الأَيْدِي عَلَى صَلاَةٍ بَعْدَ الْعَصْرِ
Mukhtar b. Fulful said:
I asked Anas b. Malik about the voluntary prayers after the afternoon prayer, and he replied: ‘Umar would strike hands for praying after the ‘Asr prayer.
AbdulFattaah Bin Uthman