Cleveland has won four in a row and during that streak the Indians have outscored their opponents 39-5.
The Indians took charge with a three-run third that included a two-run double from Asdrubal Cabrera and an RBI, infield single from Raburn.
Raburn doubled home another run in the fifth.
Trevor Bauer (1-1) and four relievers combined on the shutout with the Cleveland starter working his way around six walks and a lone hit over five innings.
Cliff Lee (2-2), who began his career with Cleveland and was facing the Indians for the first time, gave up five runs on nine hits in six innings to suffer the loss. Lee made 182 career starts with Cleveland.
Philadelphia batters went 0-for-10 with runners in scoring position.