Abreu hit a two-run home run and Justin Morneau followed with a solo shot in the fifth off Jake Thompson (1-3), who gave up seven runs and eight hits in five innings.
Rodon (4-8) allowed three hits and has a 1.46 ERA in his past four starts after missing most of July with a sprained left wrist suffered when he slipped on the dugout steps.
Adam Eaton tripled, singled and scored twice and Tim Anderson tripled, reached base three times and drove in a run as Chicago built a 9-0 lead in its third straight win.
Freddy Galvis homered off Chris Beck in the seventh to end a 17-inning scoreless streak for the Phillies, who have dropped five of seven.
