In Ryne Sandberg's first game as manager, the Phillies managed just three hits and left eight men on base in a 4-0 loss to the Dodgers.
Greinke was wildly effective, throwing just 68 of 113 pitches for strikes while walking four batters. But the Phillies could not capitalize, going 0 for 5 with runners in scoring position.
Chase Utley and Asche each struck out twice.
Cliff Lee was good but not great as he allowed three runs in eight innings of work, while striking out six and walking one. His record fell to 10-6 as he lost his fourth consecutive decision.
The Phillies are now 4-20 in their last 24 games, while the Dodgers are 21-3 over that same span. Both teams were .500 at the all-star break.
Saturday, it gets no easier as the Phillies face Cy Young favorite Clayton Kershaw (11-7, 1.88), who is surprisingly 0-4 in his career against the Phils. They'll oppose with Kyle Kendrick (10-9, 4.48).