The Homeland Security secretary said he'd also give himself a high grade for "investment in mission and support of our workforce."
The South Carolina senator said he would "never forgive" Biden for his handling of the Afghanistan withdrawal.
Virginia GOP Governor-elect Glenn Youngkin distanced himself from the former president throughout his campaign.
"On January 6 Lindsey Graham was running around the Capitol, ordering the Capitol Police to murder the protesters," Carlson said.
"What are you doing? Take back the Senate! You've got guns. Use them," Graham reportedly yelled at the sergeant-at-arms as rioters breached the U.S. Capitol.
"We need somebody that can look at the comprehensive view of what we're seeing here," Cuellar said. "It's not a simple solution."
The South Carolina senator was reacting to the Senate's vote to temporarily extend the debt limit after 11 Republicans broke rank to overcome a filibuster.
The claims involving a phone call the senator allegedly had with Trump are detailed in a new book from Bob Woodward and Robert Costa.
Lindsey Graham was speaking at a county Republican event in Summerville, South Carolina on October 2.
Graham called Democratic criticism of border patrol agents fending off Haitian migrants "the most inhumane thing going on right now in America."
Previously, the senator reportedly told Trump he had been "written off as dead" because of the U.S. Capitol riot.
The ex-Secretary of State told iHeartRadio that President Joe Biden needed "to own" the consequences of the U.S. exit from Afghanistan.
"The chance of another 9/11 just went through the roof," the South Carolina Republican senator suggested.
Two Republicans have called on the president to designate the Taliban as a foreign terrorist organization.
President Biden said on Tuesday that the U.S. has evacuated more than 70,000 people since August 14.
"This is an ill-conceived, disjointed, half-assed effort to get American citizens and those who fought for us out of Afghanistan," Graham said.
Sen. Lindsey Graham said President Joe Biden should be impeached if he leaves "one American" behind in Afghanistan.
"Jihadists all over the world are celebrating this event," Graham warned on Sunday as the Taliban seized control.
"Senator Graham failed to live up to the conservative Republican principles that we elected him to follow," the Aiken County Republican Party said.
The Republican senator has worked to maintain close ties with the former president.
The U.S. Senate has kickstarted budget talks but face long and shaky road before final deal is reached.
"I would urge you to consider getting vaccinated...I think the vaccine is safe, it works, and certainly, I'm glad I had it," the South Carolina senator said.
"No one's being asked to go off to fight radical Islam or fight a foreign enemy. We're being asked to make responsible medical decisions," Graham said.
The South Carolina Republican revealed he had tested positive for COVID-19 on Monday but had mild symptoms.
Graham called his symptoms "mild" and likened them to the feeling a person has when they have a sinus infection.
The Republican senator said "we may learn something from our Democratic friends in Texas."
"Any Republican who signs on to this pile of hot garbage should be laughed at for getting duped by Biden," wrote NRO editor Philip Klein.
The former president described the U.S. as "sick on the border" and accused Joe Biden of "destroying our country" during a trip to Texas on Wednesday.
Graham said Biden linking the bipartisan bill and reconciliation bill made him "look like a f***ing idiot now."
"As you know, the Constitution does provide for federal oversight of state elections," the Fox News Sunday anchor told the GOP senator.