Garoppolo and the offense started slow but picked things up in the second quarter. Lamm became the fifth Texans player in two weeks to depart a game with a concussion. That scoring pass snapped a 16-16 tie and helped lift the 49ers (3-10) to their second consecutive road triumph. Garoppolo engineered a game-winning drive in the fourth quarter last week at Chicago.
That was the first of five consecutive possessions that ended with a score for the 49ers. Houston went up 16-13 when Hopkins grabbed a 29-yard touchdown reception on the Texans' first drive of the second half.
Hopkins finished with 11 receptions for 149 yards and two touchdowns, but his fumble in Houston territory late in the fourth quarter resulted in the fourth Gould field goal. Houston opened the scoring on Ka'imi Fairbairn's 55-yard field goal.
Rookie Deshaun Watson took over at halftime of Houston's season-opener after Savage struggled and made the offense one of the NFL's most potent in six starts, but he tore his anterior cruciate ligament in practice on November 2.
Yates is an experienced backup who has completed 58.1 percent of his career throws for 1,534 yards, six touchdowns and eight interceptions. The Texans later lost QB Tom Savage to a concussion just prior to the intermission. Johnson was observed spiking his helmet on the sideline after getting beaten for the touchdown.
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Yates, who hadn't appeared in a game since November 16, 2015, was signed last month after Deshaun Watson went out with a knee injury.
Savage was hit by 49ers defensive end while throwing an incomplete pass on third down.
Garoppolo's hopes of enjoying another successful day's work may well hinge on the health of right tackle Trent Brown, who is questionable with a shoulder injury. It was the first time the 49ers have won back-to-back games in the same season since November 2014.