Here is a list of Baraou's best fights. For a list of Baraou's losses, refer to "Abass Baraou Losses".
On February 16, 2019 Abass Baraou faced off against Carlos Molina in a super-welterweight bout at age 24. He was coming in with a record of 5-0 (2), and Molina was 35 years old and with a record of 29-10-2 (8). Baraou won the fight via 12-round unanimous decision.
On March 1, 2024 Abass Baraou faced off against Sam Eggington in a super-welterweight bout at age 29. He was coming in with a record of 15-1 (9), and Eggington was 30 years old and with a record of 34-8 (20). Baraou won the fight via 12-round majority decision.