Federal judges in Georgia and Texas have ruled against key provisions of two controversial election laws passed two years ago as the Republican Party sought to tighten voting rules after former President Donald Trump’s loss in the 2020 presidential contest.

U.S. District Judge Xavier Rodriguez struck down a provision of Texas’ law requiring that mail voters provide the same identification number they used when they registered to vote. He ruled the requirement violated the U.S. Civil Rights Act because it led to people being unable to cast ballots due to a matter irrelevant to whether they are registered.

The change led to skyrocketing mail ballot rejections in the first election after the law passed in September 2021 and was targeted in a lawsuit from the U.S. Department of Justice.