Career
Air Corps Reggiana 1919
Acosty started his youth and senior career with Italian club Reggiana in the 2008-2009 Lega Pro Prima Divisione season before going on to sign for Fiorentina in July 2009. American Car and Foundry Fiorentina
Acosty made his Serie A debut for Fiorentina on January 22, 2012 in a match against Cagliari when he came on as a substitute in the 64th minute for teammate Adem Ljajić.