"I think he needed to be much harsher as it related to the white supremacists", Anthony Scaramucci, Trump's former communications director said on ABC's This Week, "It's actually terrorism, whether it's domestic or global terrorism with the moral authority of the presidency you have to call that stuff out".
Scaramucci reiterated that he felt the interview with Lizza was "off the record" and it was a "very deceitful thing" that Lizza did.
"Here's the thing: Whether I was the White House communications director or not, I don't think you're gonna change the president".
"He has to moved away from that sort of Bannon-bart nonsense", Scaramucci added.
"It's actually terrorism and whether it's domestic or global terrorism, with the moral authority of the presidency, you have to call that stuff out", he said.
When asked about Trump's reaction to the events in Charlottesville, Scaramucci said the president's words should have been "much harsher".
Scaramucci's interview Sunday came two weeks after his firing.
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The White House did not immediately comment on Scaramucci's suggestion about Bannon.
They included his calling then-Chief of Staff Reince Priebus a "fucking paranoid schizophrenic" and saying of White House strategist Steve Bannon: "I'm not Steve Bannon".
When Kelly was sworn in, White House officials made it clear that all staff would report to Kelly.
"I wouldn't have recommended that statement", Scaramucci said on ABC's "This Week".
National Security Advisor H.R. McMaster appeared with George Stephanopoulos on ABC's This Week today to talk about North Korea, but Stephanopoulos opened by asking him about Charlottesville. But I think it's important for the people around him, George, to give him direct advice, to be blunt with him.
Trump's response was criticized by politicians on both sides of the aisle for failing to name white supremacist or alt-right groups involved in the protests.