The draft orders are now being withheld for a more complete review by a number of agencies, including the State Department, which is expected to begin as early as next week.

The draft order on the United Nations funding, according to copies acquired by The New York Times, called for “at least a 40 percent overall decrease” in contributions by the United States to the world body and its agencies. Much of this funding currently goes to international peacekeeping operations and other core United Nations missions. The draft order would have allowed for similar cuts to other international organizations, but it did not name them.

Some provisions in the draft order were either unclear or redundant. For example, one suggested considering cuts in funding toward the International Criminal Court, but the United States does not recognize that body or make contributions to it. Another called for the termination of funding for any United Nations agency that grants full membership to a Palestinian representative, which is already United States law.

Nikki R. Haley, the new American ambassador to the United Nations, said in comments at the United Nations headquarters on Friday, “You’re going to see a change in the way we do business.”

Ms. Haley added, “For those who don’t have our backs, we’re taking names.”

President Trump expressed antipathy toward the United Nations during the campaign.