Huckabee shared the video on her Twitter account late Wednesday hours after Trump lashed out at Acosta during a press conference for trying to ask him about the migrant caravan - a topic the president and Fox News had been obsessed with before the Midterm Elections.
Wednesday's event, which began with the president framing Tuesday's election results as a victory for himself and the Republican party, was Trump's first planned, open-ended press conference at the White House since February 2017, and only the second since he took office.
"This conduct is absolutely unacceptable", Sanders said.
His exchanges with CNN's Acosta and another reporter for the NBC network turned bitterly personal, unusual even for the adversarial nature of presidential press conferences.
The US president repeatedly interrupted Acosta during the press conference as he attempted to ask questions about the migrant "caravan" and the Russian Federation investigation, and a White House aide attempted to pull the microphone out of Acosta's hand.
The intern attempted to grab the microphone from Mr Acosta, who nevertheless tried to shout out one last question. Acosta might have embarrassed the poor woman, but he didn't assault her. The exchange btween the president and Acosta quickly grew heated, with the president telling Acosta, "you let me run the country, and you can run CNN". "You are are a rude, bad person".
"I think we have crossed a new line, because the reason for taking away Acosta's credentials is a lie", said Dan Kennedy, a Northeastern University journalism professor.
"Pardon me, ma'am", he said.
To some of his critics, not only does the move impose restrictions on the media trying to do its job, the reason given is a brazen example of the White House lying in plain sight.
"This is a lie", Acosta tweeted back at Sanders.
"We have a lot of problems - excuse me - but to say that what you said is so insulting to me".
"Mr. President are you anxious about indictments coming down in this investigation?"
"We stand by our decision to revoke this individual's hard pass".
Acosta asked the president about his use of the word "invasion", which he said was "mischaracterizing" a group of migrants that remain hundreds of miles away.
White House staffers decide whether journalists are eligible, though the Secret Service determines whether their applications are approved.
In a statement, CNN called out Trump.
"Sources with direct knowledge tell Jonathan Swan that since the earliest days of his presidency, Trump has mused about revoking press credentials for reporters who infuriate him", Axios reports.