Can we do Sajdah-e-tilawah after Asar and Fajr, meaning at the makrooh times?
بِسْمِ اللهِ الرَّحْمنِ الرَّحِيْم
In the name of Allah, the Most Gracious, the Most Merciful
Yes, it is permissible to do Sajdah-e tilawah after Asar and Fajr prayer.
Only Allah knows best
Written by Alimah Sumeyye Sofu
Checked and approved by Mufti Mohammed Tosir Miah
Darul Ifta Birmingham
 al-Hidayah p.155 v.1 Maktabatul Bushra