Lyles (1-1) broke a personal four-start winless streak with the performance, in which he allowed two runs on five hits over seven innings.
The second-year right-hander walked two and struck out three for the Astros, who logged their first victory since May 25.
Brett Myers racked up his 13th save with a 1-2-3 ninth to secure Houston's win.
Justin Maxwell bashed a two-run, pinch-hit homer while Jason Castro and Marwin Gonzalez each added two hits and an RBI for the Astros.
Reds starter Bronson Arroyo (2-4) was touched for five runs on eight hits over 6 1/3 innings.
Zack Cozart went 2-for-4 with a two-run homer for Cincinnati.
2014: NFL Cheerleaders [PHOTOS]
Michael Sam cut from the Dallas Cowboys