 Besides, Acosta played nine seasons in the Mexican League for the Leones de Yucatán, Pericos de Puebla, Tecolotes de Nuevo Laredo and Cardenales de Villahermosa, now known as Olmecas de Tabasco .Along his prolific career of 23 years, Acosta won five batting crowns, two of them in his motherland and the rest of them in México.Acosta broke into minor league baseball with the Class-D Dothan Cardinals of the Alabama–Florida League in 1958, batting .313 with 76 RBI and a league-leading 36 stolen bases in 124 games.