Gheorghe Băcuț was born on 12 July 1927 in Oradea, Kingdom of Romania, starting to play junior level football at local clubs, Stăruința and Libertatea.

[1][2][3] In the following season he helped The Old Lady win The Double, being used by coach Petre Steinbach in 26 matches in which he scored four goals, also playing all the minutes in the 3–2 victory from the 1948 Cupa României final against CFR Timișoara.

[1][2][4] In 1950 Băcuț went to play for Dinamo București, his first performance with the club was reaching the 1954 Cupa României final where coach Angelo Niculescu used him all the minutes in the eventual 2–0 loss in front of Metalul Reșița, then in the following season he helped the club win the first Divizia A title in its history, being used by Niculescu in 24 matches.

[1][6][7] In 1957 Băcuț returned to his hometown to play for CS Oradea where on 15 June 1958 he made his last Divizia A appearance in a 3–0 away loss against his former team, Dinamo București, having a total of 237 matches with eight goals scored in the competition.

[1] Gheorghe Băcuț played in 28 matches at international level for Romania, making his debut under coach Coloman Braun-Bogdan on 30 September 1945 in a friendly against Hungary which ended with a 7–2 loss.