The Trump White House is again seeking to sharply reduce the EPA’s budget, an opening offer that Congress isn’t likely to follow but signals the administration’s continued desire to shrink the agency.

The administration’s request, the broad strokes of which were released March 11, would seek $6.1 billion for the Environmental Protection Agency in fiscal year 2020, a cut of more than $2 billion or 31 percent, compared with the estimated $8.8 billion in fiscal year...