Yerbossynuly made his professional debut on 2 October 2015, scoring a first-round technical knockout (TKO) victory over Sergei Dologzhiev at the Circus in Lviv, Ukraine.

[2] After compiling a record of 8–0 (7 KOs), he defeated Aliaksandr Sushchyts on 15 September 2018 at the Konys in Aktobe, Kazakhstan, capturing the vacant WBC-ABC Continental super-middleweight title by unanimous decision (UD) with the scorecards reading 100–90, 100–91 and 99–91.

[3] He captured the vacant WBO Global super-middleweight title in his next fight, defeating Ilias Achergui by fourth-round corner retirement (RTD) on 23 December 2018 at the Soviet Wings Sport Palace in Moscow, Russia.

[5] He successfully defended his regional titles twice more in 2019; a UD over Rocky Jerkic in August[6] and an eighth-round TKO against Omar Garcia in December.

After losing the bout by knock out in the 12th round,[8] Aidos was hospitalized and put into an induced coma due to a subdural hematoma, bleeding on the brain.