Acuña began his career with Primera B Nacional club Rosario Central, making two appearances during the club's promotion-winning season of 2012–13.[1] In just his second Argentine Primera División match, Acuña scored his first career goal in a defeat to Vélez Sarsfield. In total, he made twenty appearances in the Primera División and scored five times.[1] Midway through the 2015 campaign, Acuña was loaned out to Olimpo until the end of 2016.[2] He participated in twenty-six matches and scored six goals.[1] In July 2016, Acuña signed for Colón on loan.[3] However, after two games, he returned to Rosario Central and was released.[1][4]
In August 2017, Acuña joined Primera B Nacional side Juventud Unida.[1][5] He made his Juventud debut on 24 September versus Guillermo Brown.[1] Acuña sealed a transfer to Malta in August 2018 by signing for Ħamrun Spartans.[1][6] However, the forward departed soon after; though did appear and score in a friendly match against Żejtun Corinthians on 5 August.[7] Acuña subsequently returned to Argentina with Torneo Federal A's Villa Mitre, whom he would later go on to appear four times for.[1][8] On 12 June 2019, Deportivo Riestra of Primera B Nacional was announced as Acuña's seventh career club; effective for 3 July.[9]