Young (3-7) retired the first 15 Rockies batters, but then allowed leadoff singles to DJ LeMahieu and Jonathan Herrera in the sixth.
Rockies pitcher Jhoulys Chacin got aboard on Young's fielding error, chasing home LeMahieu for a 1-1 tie, and Charlie Blackmon followed with an RBI, putting the Rockies ahead to stay.
Dexter Fowler and Ramon Hernandez each knocked in a run to complete the four-run rally as Colorado notched its second win in a four-game series.
Chacin (1-3) earned his initial victory of the season in his first appearance since May 1 following his recovery from a nerve impingement in a pectoral muscle. The right-hander allowed one run on four hits over six innings.