The Cardinals produced 16 hits in winning for the fifth time in six games.
Both Robinson and Matt Adams had three RBI in helping St. Louis build a 9-1 lead through five innings. Adams singled in two runs in the first and contributed an RBI double in the big fifth inning.
Jake Westbrook (7-4) coasted to the win, giving up three runs on nine hits in seven innings.
St. Louis roughed up John Lannan (2-4) for four runs on eight hits in four frames.
Philadelphia has lost four in a row, a streak in which the Phillies have managed only eight runs.