The center fielder has scored 13 runs in 12 games as the A's leadoff hitter.
Carrasco followed starter Danny Salazar and inherited a 3-0 lead. Carrasco gave up eight runs - five earned - in 2 2-3 innings.
Top shortstop prospect Francisco Lindor doubled and scored in the third and contributed a run scoring single as the Indians built a 3-0 lead against A's starter Dan Straily.
Infielder Nate Frieman hit a three-run home run for Oakland off minor leaguer Shawn Armstrong to break the game open in the eighth.