The White House chief strategist Stephen Bannon, left, and chief of staff Reince Priebus at the White House on Tuesday. REUTERS/Carlos Barria President Donald Trump wasn't "fully briefed" on the details of an executive action giving his chief strategist, Steve Bannon, more power, according to an explosive report from The New York Times.

Trump signed a presidential memorandum in late January that removed the nation's top military and intelligence advisers as regular attendees of the National Security Council's Principals Committee, the interagency forum that deals with policy issues affecting national security, and gave Bannon a regular seat at the table.

Top Republican lawmakers and national-security experts roundly criticized the move, expressing skepticism that Bannon should be present and alarm that the chairman of the Joint Chiefs of Staff and the director of National Intelligence would potentially have a reduced role.

But Trump may not have anticipated the backlash, according to Times reporters Glenn Thrush and Maggie Haberman, who talked to dozens of anonymous government officials to get a picture of what the Trump White House looks like.

"For the moment, Mr. Bannon remains the president's dominant adviser," The Times wrote in its piece on Sunday, "despite Mr. Trump's anger that he was not fully briefed on details of the executive order he signed giving his chief strategist a seat on the National Security Council, a greater source of frustration to the president than the fallout from the travel ban."

In a tweet on Monday morning, Trump called the story "total fiction," accusing The Times of "making up stories and sources."

Michael Mullen, a retired US Navy admiral who was the chairman of the Joint Chiefs of Staff from 2007 to 2011, wrote an op-ed article in The Times on Monday making the case that Bannon "doesn't belong" on the National Security Council's Principals Committee.

"The appointment of Mr. Bannon is something which is a radical departure from any National Security Council in history," Republican Sen. John McCain, the chairman of the Senate Armed Services Committee, told CBS' "Face the Nation" after Trump signed the executive action. "The one person who is indispensable would be the chairman of the Joint Chiefs of Staff, in my view. So it's of concern, this 'reorganization.'"

'Pulling the strings'

Bannon with President Donald Trump during a meeting on cybersecurity in the Roosevelt Room of the White House in Washington on Tuesday. AP Photo/Evan Vucci

Before joining the Trump campaign, Bannon, 62, was the CEO of Breitbart News, a far-right website known for its antiestablishment, white-nationalist positions on issues such as immigration and trade. His appointment as chief strategist has drawn vitriol from political insiders as well as at the many protests and marches since Trump took office.

Former Secretary of State Madeleine Albright, who served in the Clinton administration, said on CNN on Sunday that she thought Bannon was "the person that's pulling the strings."

The Washington Post reported on Saturday that Trump had noticed Bannon's rising media profile, and MSNBC's "Morning Joe" host Joe Scarborough questioned whether Bannon was "calling the shots" on Monday, comments that seemed to incite Trump to tweet that that wasn't the case.

Trump has repeatedly criticized The Times in the past. The newspaper reported a spike in subscriptions after Election Day, recording its best quarter for digital subscriptions in six years.