Sen. John McCain (R-Ariz.) pushed back sharply Sunday against Transportation Secretary Ray LaHood, who argued Republicans have yet to come forth with a deal to avoid deep federal spending cuts set to kick in this week. McCain blamed the White House for coming up with the idea of the cuts in the first place.

"Shame on Ray LaHood," McCain said on CNN's "State of the Union." The Arizona Republican senator went on to cite a report from the Washington Post's Bob Woodward that noted the idea of the  the deep cuts -- known as the sequester -- originated in the White House in 2011.

LaHood, who appeared on "State of the Union" before McCain, lashed out at congressional Republicans, who he said has failed to come up with an acceptable proposal to avert the sequester.

“I am a Republican. My audience is trying to persuade my former colleagues that they need to come to the table with a proposal, which frankly they haven’t done. While the president has, the Republicans haven’t,” LaHood said on CNN.

McCain argued that he warned against the impact of the cuts during the 2012 campaign, even as the president said they would not happen.

"The president said during the campaign -- won't happen. I said during the campaign and so did others say, we've got to stop this from happening. The president has now said it was Congress's fault. We know the president wasn't telling the truth about that," McCain said.