It was Cleveland's fourth win in as many games with Minnesota this season, having outscored the Twins, 34-14.
Sabathia (6-1) was coming off his first loss of the season and he bounced back by allowing just one run on five hits. He retired the last 12 men he faced, throwing 71 of 103 pitches for strikes.
Carlos Silva (2-4) lost his third straight start, giving up seven hits and five runs in six innings. In those three games the Twins have supported Silva with only one run.