After three years paying with Altina football school in Zemun, twins returned to home town and joined Sloga Kraljevo.
[10] On 6 July 2017, Račić made his first continental appearance for the club, in the second leg of the first qualifying round for the 2017–18 UEFA Europa League, in a 3–3 draw against Floriana.
[15] On 5 May 2018, Račić was fouled for a penalty kick, which was scored by Dejan Joveljić in 4–0 home victory over Spartak Subotica.
[23] On 13 September 2020, Račić came on as a substitute in Valencia's opening game of the 2020–21 La Liga season home against Levante, in a 4–2 win.
[24] On 22 August 2024, Račić completed a move to EFL Championship side West Bromwich Albion on a season long loan.
[28] In August 2016, Račić was called into Serbia U19 squad for memorial tournament "Stevan Vilotić - Ćele", where he debuted in opening match against United States.
[29] Račić scored his first goal for U19 national team from a penalty kick, in a friendly match against Georgia, played on 8 October 2016.
[30] Račić was also a scorer in the last testing match before elite qualification round for the 2017 UEFA European Under-19 Championship, against Bosnia and Herzegovina on 9 March 2017.
[33] In November 2022, he was selected in Serbia's squad for the 2022 FIFA World Cup in Qatar,[34] but he didn't make any appearance there.