Cohen, once one of the president's closest allies and a top executive at The Trump Organization, last week admitted lying in testimony about contacts with powerful Moscow figures over building a Trump Tower in Moscow.
Trump also took fresh aim Monday at Mueller, who is investigating possible coordination between Trump's campaign and Russian Federation in the 2016 election and whether Trump has tried to obstruct the probe.
Trump wrote that Cohen did "terrible" things that were "unrelated to Trump" and said that he believes Cohen should "serve a full and complete sentence". He accused Cohen of making up "stories to get a GREAT & ALREADY reduced deal for himself" and should, "in my opinion, serve a full and complete sentence".
The rare public rebuke came after Conway's husband- an attorney- responded to a tweet from the president praising the longtime Republican operative Roger Stone.
A promise: Trump took note of Stone's weekend vow that he will never testify against the president.
Prosecutors from Mueller's office had offered Corsi a deal to plead guilty to a false statements charge, but he said he rejected the offer because he didn't knowingly mislead investigators.
Sen. Mark R. Warner (D-Va.) weighed in later.
If you refer to yourself in quotation marks on your own Twitter feed, does it get you out of witness tampering charges? "I'd be probably on a beach somewhere", he said.
Earlier Monday, and not for the first time, Mr. Conway tore into the president, accusing him of jury- and witness-tampering. Subjects of an investigation can still communicate to others entangled in a probe, and though they can encourage them to tell the truth, they cannot coach them to lie, he said. Stone has been closely linked to WikiLeaks, the group that published hacked emails from the Clinton campaign. Corsi wants the Department of Justice to open criminal and ethics probes into Mueller and his staff.
After tweeting about his meetings in Argentina and complaining about Democrats refusing to fund his border wall, the president turned to the Mueller investigation.
Cohen, who is cooperating with a federal investigation into whether Trump's campaign worked with Russian Federation to sway the election, is scheduled to be sentenced on Dec 12 after pleading guilty to tax evasion, making false statements to a bank, campaign finance violations, and lying to Congress.