The Galaxy tied it at 2-all in the 85th minute. Zlatan Ibrahimovic fed Giovani dos Santos into open space up the left channel, and Ola Kamara finished dos Santos' wide cross.
Rodriguez put Houston (3-3-2) back in front five minutes later, heading home the rebound of Quioto's shot, which crashed off the crossbar.
Alejandro Fuenmayor opened the scoring in the third minute with a left-footed finish of Quioto's free kick. The goal was initially flagged offside, but the call was reversed after video review. Dos Santos tied it for the Galaxy (3-5-1) in the 39th minute, pouncing on the rebound of Ibrahimovic's saved attempt.