A former Russian youth international, Yevgenyev was included in the senior squad by Russia at UEFA Euro 2020.

[4] Yevgenyev formed a partnership in central defense with Ivan Ordets, and made a career-high 27 appearances during the season.

[5] Entering the 2021–22 season, Dynamo signed Fabián Balbuena from West Ham, and this pushed Yevgenyev out of the starting line-up.

[7][8] Following the beginning of the 2022 Russian invasion of Ukraine, Ukrainian defender Ivan Ordets stopped appearing for Dynamo, and Yevgenyev returned to the starting lineup for the remainder of the season to replace him.

[12] In November 2020, he was called up to the Russia national football team for the first time for the games against Moldova, Turkey and Serbia.