[1] Barać was an assistant coach for Energa Czarni Słupsk during the 2014–15 PLK season under Dejan Mijatović.
[3] In August 2019, Barać joined Bosnian team Igokea as an assistant coach.
In August 2012, he won a bronze medal with Serbia U18 at the FIBA Europe Under-18 Championship.
With the Serbia under-19 team he won a silver medal at the 2013 FIBA Under-19 World Championship.
In July 2014, Barać won a bronze medal with Serbia U20 at the FIBA Europe Under-20 Championship.