Kubrakov was on a party list of the Servant of the People political party during the 2019 parliamentary elections,[1] and was elected to the Verkhovna Rada (the Ukrainian parliament) in 2019.[5] He surrendered his deputy mandate upon his appointment as a head of Ukravtodor on 3 December 2019.
On 15 November 2019 Kubrakov was determined the winner of the competition to assume the office of the chairperson of the State Agency for Motor Roads of Ukraine ("Ukrautodor") [6] and on 19 November 2019 he was appointed to this position by a Government of Ukraine[7]
On 14 August 2022 Kubrakov posted on his Facebook account that Ukraine are preparing delivery and will be delivering 23 thousand tons of wheat to Ethiopia via the ship named the "BRAVE COMMANDER".
Kubrakov was included to the Time 100 for the year 2022 published on 28 September 2022 ranking of one hundred people who are "changing the future of the world.[8]