Donald Trump and Newt Gingrich share the stage during a campaign rally in Cincinnati. (John Minchillo/AP)

Newt Gingrich blasted the notion that Donald Trump's campaign and rhetoric catered to what's called the alt-right movement, which rejects establishment conservatism and spreads its far-right ideology online.

“It's garbage,” the former House speaker and a Trump adviser told CBS's John Dickerson on “Face the Nation” on Sunday when asked to comment on the alt-right movement, whose members have shown support for Trump.

“Donald Trump is a mainstream conservative who wants to profoundly take on the left. The left is infuriated that anybody wants to challenge their moral superiority,” Gingrich said.

In September, Donald Trump Jr. shared an image that portrayed his father and his running mate, Mike Pence, alongside radio host Alex Jones and a cartoon icon associate with the white nationalist alt-right. Stephen Bannon, Trump's campaign chief executive and former executive chairman of Breitbart News, once described that website as “the platform of the alt-right.”

Trump's candidacy and rhetoric have energized white supremacy groups — in August, Rocky Suhayda, a top American Nazi Party leader, said a Trump victory is “going to be a real opportunity for people like white nationalists.”

Still, Gingrich dismissed notions about the president-elect's ties to the alt-right. He said he never heard of the movement “until the nutcakes started writing about it,” referring to media outlets including The Washington Post.

Gingrich also spoke briefly Sunday about plans to deport undocumented immigrants, saying there will be “substantial deportations.”

“They're called criminals,” he added.

Trump echoed Gingrich in an interview on"60 Minutes” airing Sunday night, saying he plans to immediately deport 2 million to 3 million undocumented immigrants.

“What we are going to do is get the people that are criminal and have criminal records, gang members, drug dealers, where a lot of these people, probably 2 million, it could be even 3 million, we are getting them out of our country or we are going to incarcerate,” Trump said.

In a separate interview on CNN on Sunday, House Speaker Paul D. Ryan (R-Wis.) said the opposite.

“We are not planning on erecting a deportation force,” Ryan told CNN's Jake Tapper on “State of the Union.” “Donald Trump's not planning on that.”

READ MORE:

Donald Trump’s plan to deport millions of immigrants is likely using very bad math

Giuliani: ‘There will be a wall’ between Trump and his financial interests

Kellyanne Conway: It’s up to Clinton, Obama to calm anti-Trump protesters