The House has rejected the challenge to Arizona's electoral votes, 121-303, with most Republicans supporting the challenge.

There were 121 Republicans, 57% of the conference, who voted in favor of the objection, including GOP Leader Kevin McCarthy of California, and House Minority Whip Steve Scalise of Louisiana.

On the other side, 220 Democrats voted against the objection, joined by 82 Republicans. Two Democrats and five Republicans did not vote.

Speaker Nancy Pelosi announced that the House will soon move back into joint session with the Senate, where the certification of the electoral votes will continue alphabetically by state.

The next challenge expected is Georgia's votes, but it's unclear if House Republicans still have a senator to help them force debate and a vote.

-ABC News' Ben Siegel

Hours after the Senate began debate counting the Electoral College votes, the full body voted 93-6 not to take up the objections to Arizona's Electoral College votes.

Senators Ted Cruz, Josh Hawley, Cindy Hyde-Smith, John Neely Kennedy, Roger Marshall and Tommy Tuberville all voted in favor.

Before the pro-Trump mob stormed the Capitol Wednesday, 13 Republican senators said they would object to the state over baseless claims of fraud. Seven changed their position after the violent siege ended and Congress returned to the Senate chamber.

Several senators will continue speaking on the floor while the House wraps up their debate on the objection to Arizona's electoral results, Senate Republican Leader Mitch McConnell said.

White House deputy press secretary Sarah Matthews has resigned in response to what happened at the Capitol Wednesday.

Matthews said in a statement she was "honored" to serve the administration and "proud" of the policies it enacted, but added "our nation needs a peaceful transition of power."

"As someone who worked in the halls of Congress I was deeply disturbed by what I saw today. I'll be stepping down from my role, effective immediately," she said in her statement.

-ABC News' Ben Gittleson

Multiple sources tell ABC News President Trump rebuffed efforts for quite some time to call in the National Guard Wednesday afternoon as chaos escalated at the U.S. Capitol, and steps weren't made until a few White House officials intervened for "the sake of the country."

Sources tell ABC News the aides explained to Trump that if action was not taken other protesters could mobilize across the country and the situation would only grow more dire.

Sources say the president is fuming mad inside the White House, unclear what his next move or action could be. He is described by one strong source as "stewing."

-ABC News' Katherine Faulders and John Santucci

Rep. Liz Cheney, R-Wyo., a member of House GOP leadership and one of the first prominent Republicans to acknowledge Biden's victory, sent a 21-page memo to her conference making the case against a challenge to the Electoral College certification process on Wednesday, arguing that it would improperly overrule states' authority over elections, and set a "dangerous precedent" down the line for future elections and sessions of Congress.

"By objecting to electoral slates, members are unavoidably asserting that Congress has the authority to overturn elections and overrule state and federal courts. Such objections set an exceptionally dangerous precedent, threatening to steal states’ explicit constitutional responsibility for choosing the President and bestowing it instead on Congress," Cheney wrote.

"This is directly at odds with the Constitution’s clear text and our core beliefs as Republicans. Democrats have long attempted, unconstitutionally, to federalize every element of our nation—including elections. Republicans should not embrace Democrats’ unconstitutional position on these issues," she added.

Cheney raises questions about the proposal from some Republicans to set up a commission to investigate concerns about the election, calling it a "problematic" set up that would take much longer than ten days to wrap up, and potentially delay the inauguration. The memo also exhaustively summarizes the court rulings against the president's legal efforts in the six states Republicans plan to target on Wednesday: Arizona, Nevada, Wisconsin, Michigan, Georgia and Pennsylvania.

-ABC News' Benjamin Siegel