The GOP House Minority Leader has helped five anti-Trump Republicans raise about $100,000 each in the first half of 2021.
Pelosi is reportedly considering choosing a Republican as one of her appointments to a January 6 select committee.
"Sometimes there are consequences to being ineffective and weak," the former president threatened on his blog on Thursday.
"Individuals that they have on the watch list for terrorism are now starting to exploit the Southern border," Rep. John Katko (R-N.Y.) said Monday while criticizing President Joe Biden for creating "disorder at the border by executive order."
The Alaska senator has said the party is more than the former president, as the Republican lawmakers who voted for impeachment insist they have no regrets.
Thursday's vote sought to remove Greene from her House committee assignments due to her past social media endorsements of several extremist conspiracy theories.
New York Rep. John Katko said classified briefings he had received about the January 6 unrest were "deeply troubling."
"There is no doubt in my mind that the President of the United States broke his oath of office and incited this insurrection. He used his position in the executive to attack the legislative," Illinois Representative Adam Kinzinger wrote.
"To allow the president of the United States to incite this attack without consequence is a direct threat to the future of our democracy," New York Republican Representative John Katko said in a Tuesday statement.