Acosta has frequently clashed with Sanders during the White House's irregular news briefings and with Trump in televised news conferences.
The president confronted Acosta in a testy exchange after the CNN White House reporter field Trump with questions about the migrant caravan and Russian Federation investigation.
"CNN should be ashamed of themselves, having you work for them", he said. That's enough. That's enough.
"The most unsafe type of fake news and reporting and evidence is when you get into the fine details, the nuanced things that are shaped to present a certain viewpoint or decision or news a certain way", he said.
Many in the media industry were furious with Ms Sanders for sharing the video, including one of Mr Acosta's colleagues.
Callum Wilson gets first England call-up for United States of America and Croatia matches
He is not in contention for the Nations League clash with Croatia three days later. It's a great experience to have for the younger players in our team.
"White House staff don't pull passes over personal pique, only over threats to the president", professor Martha Joynt Kumar, director of the White House Transition Project, told CNN. "But they have to come in legally". "You have a president that does not live in a fact-based world a lot of the time and his tone was so aggressive, but you also have people in the press core that are constantly aching to make the headlines and to get those soundbites".
In response, Acosta said, "This is a lie".
Several Twitter users noted that the same video was shared hours earlier by a personality from Infowars, the Alex Jones outlet banned from many social media sites for abusive behavior. Acosta refused. Trump backed away from his podium and briefly paced the stage.
Acosta questioned him about his rhetoric on immigration during the campaign and his deployment of troops to the US border with Mexico purportedly to stop a so-called "caravan" of migrants.
Sanders said Trump believes in a free press and expects and welcomes tough questions of him and his administration. This conduct is absolutely unacceptable. Video footage and photographs showed the intern grazing Acosta's arm in trying to pry the microphone away, and briefly making contact with the hand holding the microphone.
Blatantly lying to the public and demonizing the press are just two of the many troubling aspects of how the White House is handling this issue.
President Trump gave a news conference on Wednesday following the midterm elections. "Even if President Trump doesn't intend it, some see him as directly appealing to the racists", she wrote.