Employees at the Consumer Financial Protection Bureau received an email on Sunday saying the bureau’s headquarters would be closed for the coming week.

“Employees and contractors are to work remotely unless instructed otherwise from our Acting Director or his designee,” said the notice, a copy of which was reviewed by The New York Times.

Russell Vought, who now leads the Office of Management and Budget, was appointed late Friday as the consumer bureau’s acting director. Mr. Vought was an architect of Project 2025, the conservative blueprint for radically remaking the federal government.

The order to shutter the agency’s headquarters follows another order that Mr. Vought issued Saturday, telling agency employees to halt nearly all their work, including their regulatory supervision of banks and other financial companies.

The union that represents the bureau’s employees filed a lawsuit against Mr. Vought on Sunday night. Granting Mr. Musk’s team access to employee records violated the Privacy Act, the 1974 law regulating how the government handles individuals’ personal information, the union said in its complaint, which was filed in federal court in Washington.

Agency workers fear their employment data could be used for online harassment or “to blackmail, threaten or intimidate them,” the complaint said. Workers are also concerned about disclosure of their personal health or financial details, the union added.

The union filed a second lawsuit against the acting director over his efforts to freeze the agency’s work. Mr. Vought’s orders illegally infringe, the union said, on “Congress’s authority to set and fund the missions” of the consumer bureau.

The consumer protection agency, created by Congress in 2011 as a financial industry watchdog, cannot be closed without congressional action, but its director can freeze most of its actions by halting enforcement, weakening or repealing regulations and softening its supervision of banks and other lenders.