Desclafani (2-0) held Milwaukee hitless until Adam Lind's double with two outs in the fourth. Hector Gomez's fifth-inning single was the only other hit off Desclafani, who struck out five and ran his scoreless innings streak to 15.
Desclafani and Milwaukee starter Wily Peralta (0-2) were locked in a scoreless battle through five innings. The Reds got to Peralta in the sixth. Brayan Pena drove in the game's first run with a sacrifice fly and Cozart followed with a three-run homer.
Votto added a two-run homer in the seventh off Peralta, who allowed six runs and eight hits over seven innings.
Ryan Braun homered with one out in the ninth for the Brewers.
