The 21-year-old was ranked the No. 11 prospect in the Tigers’ organization in the 2012 MLB.com prospect watch.
Carreno went 9-8 with a 3.23 ERA in 139 1/3 innings (27 starts) for Single-A West Michigan. He had just 28 walks.
Baker was originally sent to the contending Tigers for two players to be named later, but the Cubs agreed to take Carreno and a cash consideration.
Baker had just seven hits in 35 at-bats for the Tigers before he was moved to the Braves on Aug. 31. With Atlanta, he had two hits in 19 at-bats over 14 games.