Rodriguez had retired 14 of his last 16 when Ryan Braun reached on an error by Moore with one out in the sixth inning. Aramis Ramirez singled and Corey Hart drew a walk to load the bases.
The Brewers got on the board thanks to another error by Moore, when he stopped a sharply hit grounder from Rickie Weeks, but dropped the ball before he stepped on third base. That allowed Weeks to reach, Braun to score and chased Rodriguez.
He was replaced by Fernando Rodriguez, who retired the next batter before Ramirez scored on a wild pitch to cut Houston's lead to 6-2. Moore capped off his rough inning by catching a fly ball by Cesar Izturis in foul territory to end the inning.
Cody Ransom added a run for the Brewers with an RBI double in the eighth inning.
NOTES: Milwaukee RF Norichika Aoki singled in the third inning to extend his hitting streak to 14 games. ... Houston OF Justin Maxwell, on the DL with an injured left ankle, went 1 for 2 with a double in a rehabilitation assignment with Oklahoma city on Friday night. ... These teams wrap up the series on Sunday when Milwaukee's Marco Estrada opposes right-hander Jordan Lyles.