[1/5] U.S. Senate Republican leader Mitch McConnell walks to his office at the U.S. Capitol building in Washington, U.S., November 15, 2022.
Trump, who launched his own 2024 White House candidacy on Tuesday, falsely claims he lost because of fraud.
"The Democrats outmaneuver us in every election," Braun said as Republicans met to choose their leaders for the next two years.
In the House, conservative Republicans continued to bash party leader Kevin McCarthy, a day after he overcame a challenger for the chamber's top job of House speaker.
While Senate Republicans met in the morning to vote for party leaders, House Republicans were due later in the day to consider chamber rules for the next Congress, assuming they succeed in capturing the House.