Acosta played winter baseball in the Cuban League from 1912 to 1930. He led the league in winning percentage five times: in 1914/15, 1915/16, /1917, 1918/19, and 1924/25. He also led the league in wins in 1918/19 and 1920/21. His best season was in 1918/19 when he had a 16–10 record. He was elected to the Cuban Baseball Hall of Fame in 1958.[1]