Here's the exact quote:
McConnell on the Supreme Court nominee: “Who ought to make the decision, a lame-duck president on the way out the door, or the president we're in the process of electing right now? What is the tradition? It's been 80 years, 80, since a vacancy created in a presidential election year was filled…. I can't imagine that a Republican majority Congress in a lame-duck session, after the American people have spoken, would want to confirm a nominee opposed by the NRA, the NFIB, and "The New York Times" says would move the court dramatically to the left….This - this nomination ought to be made by the next president. [BASH] So, just to - just to put a button on this, are you ruling it out 100 percent? [MCCONNELL] Yes"
He definitely said that. Never mind the distortions that preceded his exact statement.