Born in Gagauzia, Moldova, at 4 years of age Baboglo along with his parents moved to Odesa.

At 5 he joined the Chornomorets sports school where among his first coaches was former Soviet and Ukrainian striker Viktor Sakhno.

[3] He won the Valeriy Lobanovskyi Memorial Tournament in 2019 with the Ukraine U21 team and played in 2021 UEFA European Under-21 Championship qualification, scoring a goal against Northern Ireland.

[1] In March 2023 Baboglo was called up to Moldova national football team, but he wasn't able to leave Ukraine.

[4] He made his debut for Moldova on 17 June 2023 in a 2–0 loss to Albania in UEFA Euro 2024 qualifying.