The Johnston County Republican Party said it has "encouraged" the state's GOP group to censure Burr, while Republican North Carolina congressman Dan Bishop seconded a Twitter user's call for the senator's censure.
That leaves Republicans in a precarious position as they try to forge a winning coalition in the 2022 midterm elections for control of Congress and a 2024 White House race that might include Mr Trump as a candidate.
"Am I grateful that the president says, 'You're our guy in U.S. Senate 2022?' Of course, I am", Walker said.
The Senate on Saturday acquitted Trump by a margin of 57 to 43, 10 votes shy of the two-thirds majority required for conviction.
"The evidence is compelling that President Trump is guilty of inciting an insurrection against a coequal branch of government and that the charge rises to the level of high Crimes and Misdemeanors", Burr stated Saturday. Senator Burr did not represent the will of the people and that is a shame'.
Forty-three Republican senators on Saturday voted to acquit former President Donald Trump of inciting a violent insurrection, but a new poll released Monday shows that almost three out of five Americans think the Senate should have convicted Trump for his role in the assault on the U.S. Capitol. A trial that even he said was unconstitutional, ' North Carolina's RNC committeewoman Kyshia Lineberger told CNN.
Raskin questioned how McConnell could feel that way and not vote to convict Trump.
Talking about the impeachment trial of the former US President Donald Trump, the UK Prime Minister Boris Johnson characterised the whole incident as "toings and froings and all the kerfuffle".
Fellow dissenter Republican senator Bill Cassidy was also censured by the GOP in his home state of Louisiana.
"The oath that I took to the constitution compelled me to vote for impeachment and it doesn't bend to partisanship", Ms Cheney told "Fox News Sunday". "If you don't believe me, you can ask Mitch McConnell".