Gutierrez has called for a law banning “mass assault weapons” and filed a bill to compensate victims of the Robb Elementary School shooting.
A federal appellate court in D.C. previously denied an effort to stop an order bringing an end to Title 42 enforcement.
Supporters of Title 42 enforcement are hoping the U.S. Supreme Court will strike down the lower court’s decision.
Cornyn also faced backlash among staunch conservatives for his bipartisan appropriations bill that included limited gun control measures.
Democratic County Judge Ricardo Samaniego indicated illegal crossings in El Paso could spike to 5,000 daily when the use of Title 42 ends.
The U.S. Supreme Court previously decided that Biden could terminate the program, but the case is still awaiting its final resolution.
Gutierrez condemned the response by law enforcement during the shooting, which has also been criticized by the director of the state police.
First Liberty sued on behalf of Stephanie Carter, claiming the VA violated her religious freedom and subjected her to possible civil and criminal liability.
U.S. Rep. Tony Gonzalez was the only Texas Republican in the House of Representatives to vote in favor of the bill.
Prosecutors say one of the accused swindlers called bank employees “minions of Satan” when they did not comply with his demands.
Democrat Veronica Escobar of El Paso asked the Biden administration for “more resources for our local governments.”
Republicans in Texas’ congressional delegation presented their border security priorities as the GOP prepares to take control of the U.S. House.
