Trump, Mulvaney and others in the administration spoke out as Capitol Hill lawmakers prepared to vote on a $1 trillion bipartisan spending package that would avert a government shutdown until at least October 1, the start of the next budget year. House lawmakers approved the comprehensive measure in a 309-118 vote, with the Senate expected to vote by Friday to avert a government shutdown on Saturday.
But Republican leaders and the president himself also praised the stop-gap measure as a major accomplishment and a sign of his masterful negotiating with Democrats.
Instead, funding for the National Institute of Health is increased by $2 billion, despite Trump's budget plan calling for cuts to the program, and the bill will also deliver money for clean energy and science funding.
"At its basest level, our sense is that President Trump is unhappy with the press narrative that Democrats came out on top in the recent spending negotiations and used Twitter to vent his frustrations, as he is apt to do", Issac Boltansky and Lukas Davaz of the political research firm Compass Point wrote on Wednesday.
In a Tuesday morning tweet, Trump seemed to lament the $1 trillion funding package he signed off on over the weekend - one that largely preserves funding for items he promised to slash but does not advance his promised border wall - as full of concessions to Democrats. Trump on Tuesday threatened a shutdown beyond the September deadline, and Mulvaney said he had "no problem" with that scenario if it changes what he called "business as usual" in Congress. "And we're hopeful that we can see as we go through the 2018 process is more of a Republican-driven process, especially in the House, which would be a little bit more typical".
Senator Claire McCaskill, a Democrat, was predictably more critical of Trump's demand.
"This is what winning looks like", Mr Trump said during a ceremony honouring the Air Force Academy football team.
Republican senators are losing patience with President Trump's tweets and have called for his minders to take his mobile phone away after the President tweeted that the government "needs a good shutdown".
Senate Republican leader Mitch McConnell said the Senate would debate the funding Bill this week and that most Republicans did not favour a change in the rules to make it easier to pass legislation without Democratic support. "I don't anticipate a shutdown in September, but if the Democrats aren't going to behave any better than they have in the last couple of days, it may be inevitable", the budget director said.
Republicans control the White House and both chambers of Congress and the failure of the latest version of a bill to replace Obamacare would hobble Trump as he seeks to move on to other complex legislative initiatives including tax reform. Joe Manchin, D-W.Va., won a $1.3 billion provision to preserve health benefits for more than 22,000 retired coal miners.
Like Mr. Mulvaney, Mr. Trump said Republicans boosted military spending and broke the pattern of matching military spending increases with nondefense boosts. "And we didn't do any touting like the Democrats did, by the way", he said at an unrelated White House event.