Wa `alaykum as-salamu wa rahmatullahi wa barakatuh

Scholars are divided on the issue of performing optional prayers or prostrations such as sujud al-tilawah after Asr as well in other forbidden times.

According to Hanafi and Hanbali Schools, no optional prostrations are allowed after `Asr. Malikites, however, allow for prostrations after Fajr until close to sunrise, as well as after `Asr until the sun’s rays turn yellow.

As for the Shafi`i school, they allow for prostrations and optional prayers with reasons. This view is also authenticated by some of the prominent Hanbali scholars as well.

Imam Ibn al-Qayyim states:

“The hadith prohibiting salah in the forbidden times is a general one; it has been qualified by the following: `Asr prayer according to consensus; making up the past salah one has missed, neglected or forgotten, as well as prayers associated with particular occasions or reasons: This includes making up the sunnahs one  has missed since the prophet made up for the sunnah of Zhuhr after `Asr, and he also approved someone making up for the sunnah of Fajr he missed after Fajr…”

In light of this, you are allowed to make up the obligatory or strongly recommended prayers you have missed after `Asr.

Allah Almighty knows best.