Baraou made his professional debut under legendary trainer
Ulli Wegner on 28 April 2018, defeating undefeated compatriot Artur Mueller via fourth-round
technical knockout (TKO) at the Baden Arena in
Offenburg. In his second fight he took the German
light-middleweight title from Denis Krieger (14–5–2, 9 KO) with a ten-round
unanimous decision (UD) victory over the Moldovan-born fighter. As the final bell rang, Krieger spat at Baraou and insulted him in the post-fight interview. The
Hanover crowd booed him as he offered the fans in attendance both
middle fingers several times while exiting the venue. Four months later, on 6 October, Baraou retained his belt against Robert Maess (22–1, 20 KO), the man Krieger had originally beaten for the title in January. He knocked his opponent down with a powerful left in the second round, and even though Maess was saved by the bell, he retired in his corner to give Baraou the victory. On 16 February 2019, less than ten months after his pro debut, he defeated Mexican former world champion
Carlos Molina by unanimous decision after twelve rounds for the vacant
WBC International light-middleweight title. In May he defeated former
IBO world champion
Ali Funeka in
Frankfurt, stopping the 41-year-old veteran in the fifth round. He followed that up with his first fight abroad, a TKO victory over Egyptian prospect Abdelghani Saber (8–0–1, 8 KO) at the Caesars Palace in
Dubai. After Baraou dropped him once in the first round, he floored him again with a body shot in the second that he was not able to get up from. One and a half months later he defended his WBC International title against
John O'Donnell on the undercard of the
Regis Prograis–
Josh Taylor World Boxing Super Series super lightweight final at
The O2 Arena in
London. Baraou sent him to the canvas late in the sixth round, and continued his attack after O'Donnell got to his feet, prompting the referee to stop the fight with one second left in the period. After a main event stoppage victory over Mexican rival Abraham Juarez in
Hamburg in January 2020, Baraou moved to England to train under the tutelage of highly regarded coach
Adam Booth. Baraou lost his first fight as a professional when he was defeated via split decision against
Jack Culcay at Havelstudios in
Berlin on 28 August 2020. He won the vacant
European super-welterweight title with a majority decision victory over
Sam Eggington at Telford International Centre in
Telford, England, on 1 March 2024. Baraou successfully defended the title by unanimous decision against Macaulay McGowan at Bolton Whites Hotel in
Bolton, England, on 14 June 2024. On 23 August 2025, he defeated
WBA interim super-welterweight champion
Yoenis Tellez via unanimous decision at Caribe Royale in
Orlando, Florida, USA. Having been elevated to full WBA super-welterweight champion when
Terence Crawford was stripped off the title in September 2025, Baraou faced
WBO title holder
Xander Zayas in an unification bout at
José Miguel Agrelot Coliseum in
San Juan, Puerto Rico, on 31 January 2026, but lost by split decision with two of the ringside judges both scoring the fight 116-112 in favour of his opponent while the third had it for him by the same margin. ==Professional boxing record==