Born in Medellín, Acevedo began his career at hometown club Atlético Nacional. In August 2014, he was loaned to Portugal's FC Porto for a year.[1]
Acevedo played in the 2014–15 UEFA Youth League with Porto U19, scoring 5 goals in 5 matches, as well as 29 goals in 36 matches in the domestic season.[2] On 24 May 2015, the last game of the Segunda Liga season, he played the first 56 minutes on his professional debut before being substituted for Dim in a goalless draw at relegated C.S. Marítimo B.[3]
Again loaned to the same club in 2015–16, Acevedo scored nine goals in 25 games as Porto B became the first reserve team to win the second division. These included braces in home November wins over Gil Vicente F.C. (4–2) and C.D. Mafra (2–0).[4][5]
Sporting
In July 2016, Acevedo was loaned for a year to another Portuguese club, Sporting CP, and again assigned to the reserve team.[6] He scored 12 goals in his first season, joint ninth in the whole league.[7]
Acevedo returned to the city of Porto in July 2017, being loaned for a year to Primeira Liga club Boavista F.C. after Sporting signed him permanently.[7] He scored only once in his debut top-flight season, opening a 1–1 draw with C.D. Tondela at the Estádio do Bessa the following 30 March.[8]
On 2 September 2019, Acevedo went back to Portugal's second tier, joining Varzim S.C. on loan.[10] He scored on 17 December as they defeated Anadia F.C. 2–1 after extra time to reach the quarter-finals of the Taça de Portugal.[11]
Acevedo joined Spanish Segunda División newcomers UD Logroñés on a one-year deal on 11 September 2020.[12] He opened his account for the team from La Rioja on 28 October, with two goals at the start of the second half in a 3–2 win at Real Oviedo;[13] he played 31 total games, scoring five times as his team were relegated.[14]
Estoril and Rio Ave
On 21 July 2021, with his Sporting contract having expired, Acevedo signed a two-year deal with G.D. Estoril Praia, who were newly promoted to the same league.[14] A year later, he moved for the same length for free to Rio Ave F.C. who were also freshly returned to the top level; Estoril kept 50% of his economic rights.[15]