And the president compared the special counsel probe into Russian interference in the 2016 election to McCarthyism.
Trump - who had already addressed the issue late Saturday, August 18 - stepped up his attacks on the story and the probe in a series of angry morning tweets, slamming The New York Times for implying that McGahn had turned on him.
"I said nothing objectionable and stand by my remarks completely".
Trump objected and insisted that McGahn would never "rat" on the president as John Dean had in the 1970s.
Legal experts and former White House counsels said the president's lawyers had been careless in not asking McGahn what he had planned to tell Mueller's prosecutors.
Some outside attorneys suggested to the newspaper that Trump's attorneys may have been careless in not pursuing detailed accounts of White House attorney McGahn's answers to Justice attorneys so they could anticipate their questions for Trump.
He added Sunday in response to Trump's tweets that he doubts the president has "ANY IDEA what McGahn has told Mueller".
Quinn went on to say, "I think one of the really serious implications of this whole thing is that others are standing by-they see that Don McGahn went in and talked to the special counsel". In addition we readily gave over one million pages of documents.
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The Times report also notes that McGahn was "stunned" that Trump allowed him to speak with Mueller.
Moreover, two of the things that Mueller's team apparently focused on in the McGahn's interviews were, essentially, non-actions.
On Sunday, Trump's lead lawyer dealing with the special counsel, Rudy Giuliani, appeared to acknowledge that he had only a partial understanding of what McGahn had revealed. Whether Trump ordered opinions or research on whether or not he could actually runt he investigation is not part of the factual assertions of the original Tweet. "I have nothing to hide ..."
McGahn has given lengthy statements to Mueller's team - some 30 hours worth spread out over at least three voluntary interviews during the span of nine months.
Also Sunday, Giuliani claimed "truth isn't truth" in describing why his client should not meet with the special counselor.
But Giuliani also seemed to indicate that he was relying on secondhand information, from Trump's former personal attorney John Dowd, to determine the extent of what McGahn had shared with Mueller's team.
President Trump on Monday took his attacks on the Russian Federation probe being led by special counsel Robert S. Mueller III in a novel direction, declaring that he could run the investigation himself if he wanted to. Concerned that he would be blamed, he made a decision to try to demonstrate to Mueller that he and other White House lawyers had done nothing wrong.
Last year, Trump ordered Mueller fired but backed down after McGahn threatened to resign rather than follow his directive.