Rutschman went 2-for-5 with a double, an RBI and a run scored in Monday's 11-1 win over Arizona.
Rutschman, who was dropped from third to fifth in the order, snapped an 0-for-19 skid with a sixth-inning double that plated Boston's ninth run. He entered the game having gone 1-for-17 over his first five games in a Red Sox uniform.