(CNN) – The feuding between Republicans Chris Christie and Rand Paul continued Tuesday as the senator from Kentucky cautioned the governor from New Jersey was picking a fight with the wrong guy.

In an interview on CNN's "The Situation Room with Wolf Blitzer," Paul defended himself against Christie's most recent allegations that the senator was bringing home too much money for his state.

"This is the king of bacon talking about bacon," Paul said about Christie. Both are considered potential 2016 contenders for the Republican presidential nomination.

Earlier in the day, the outspoken governor chastised Kentucky for taking more federal money than New Jersey, saying the Blue Grass state gets back $1.51 on every dollar it sends to Washington, while the Garden State receives 61 cents.

"So if Senator Paul wants to start looking at where he's going to cut spending to afford defense, maybe he should start cutting the pork barrel spending that he brings home to Kentucky," Christie told reporters Tuesday in Little Ferry.

Paul pointed to Kentucky's two military bases as reasons why the state may get more money from the government.

"What does he want to do, shut down military bases in Kentucky?" he said....

"In order to have enough money for national defense, which I think is a priority for the government, you have to be willing to cut spending in other places," Paul continued. "And Governor Christie and others have been part of this 'gimme gimme gimme','give me all this money.'"

He was referring to Christie's requests for federal relief aid after Superstorm Sandy slammed into the Northeast last fall. Congress ultimately passed more than $50 billion in aid to the states affected by the storm.

But Paul said the aid should have been appropriated "in a responsible way." The senator blasted Christie for the same reason on Sunday, saying Christie and others were "bankrupting" the government.

Throwing more fuel on the fire, Paul said Tuesday that Christie should be careful about choosing his battles.

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