Can One Make Up `Asr after Maghrib?
Question

If a person missed `Asr (afternoon prayer), and when he arrived at the masjid he found Maghrib (sunset prayer) had started, what should he do?
Praise be to Allah.Sheikh Al-Islam Ibn Taimiyyah (may the mercy of Allah be upon him) said that if a person missed `Asr prayer and when he arrived to the mosque he found Maghrib prayer has started, he should pray Maghrib with the Imam then pray `Asr afterwards, as agreed upon by all leading scholars. 
The question of, “does he repeat Maghrib?” has two scholarly opinions:

The first is that he repeats Maghrib. This is the saying of Ibn `Umar, Malik, Abu Hanifah and Ahmad in what is most well-known about this issue. 
The second opinion is that he does not repeat Maghrib. This is the saying of Ibn `Abbas, the Shafi`i School of Fiqh, and the second opinion of Ahmad’s school of Fiqh.

The latter is more correct, for Allah did not make it obligatory on the person to offer a prayer twice if he has feared Allah as much as he can. (Majmu` Fatawa Ibn Taymiyyah 22/106)
For more details, please refer to the following answer: 49019 , 20013 , 96463 , 97455 , and 21616 .
And Allah knows best.
Source: From the book What Should You Do in the Following Situations...?