Garcia was claimed off waivers by the Rangers on Wednesday.
Garcia's contract was purchased by the Rangers on Friday.
Farrell cleared waivers and was outrighted to the minors Friday.
The Rangers outrighted Rivera (elbow) to Triple-A Nashville on Friday.
Taveras went 2-for-5 with two RBI, two stolen bases, one run and one strikeout in Sunday's win against the Astros.
Odor went 2-for-3 with two home runs, four RBI, one walk and one strikeout in Sunday's win against the Astros.
Lyles allowed two runs on four hits and two walks while striking out four over three innings in Sunday's win against the Astros. He didn't factor into the decision.
Choo exited Sunday's game against the Astros with an apparent ankle injury, Jeff Wilson of the Fort Worth Star-Telegram reports.
Apostel was placed on the 10-day injured list Sunday with lower-back tightness.
Calhoun is not in the lineup Sunday against the Astros.
Choo (wrist) was activated off the 10-day injured list Sunday and will bat leadoff as the designated hitter against the Astros, Levi Weaver of The Athletic reports.
Solak went 3-for-3 with an RBI, a walk and a stolen base Saturday as the Rangers went on to beat the Astros 6-1.
Taveras went 1-for-5 with a solo home run in Saturday's 6-1 win over the Astros.
Mathis went 1-for-4 with a home run, three RBI and a run scored Saturday in the Rangers' 6-1 win over the Astros.
Herget allowed one run on one hit while striking out a batter through an inning of work Saturday as he earned the win against the Astros.
Gibson tossed six scoreless innings Saturday against the Astros while allowing six hits and one walk. He struck out four and did not factor into the decision.
Taveras (back) will lead off and play center field Saturday against Houston.
Tejeda (arm) will bat seventh and play shortstop Saturday against the Astros.
Rangers manager Chris Woodward said Apostel (back) is unlikely to play again this season, Sam Blum of the Dallas Morning News reports.
Texas manager Chris Woodward said Taveras was held out of Friday's game with a back issue, Evan Grant of the Dallas Morning News reports.
Taveras will sit Friday against the Astros.
Tejeda (arm) remains sidelined Friday against Houston.
Lynn (6-3) was charged with the loss against Houston on Thursday, surrendering 10 runs (nine earned) on 12 hits and two walks while striking out five across 5.2 innings.
Rivera underwent surgery on his elbow, Jeff Wilson of the Fort Worth Star-Telegram reports.
Apostel exited Thursday's game against the Astros after tweaking his back while diving for a ground ball, Levi Weaver of The Athletic reports.