WASHINGTON — Republican leaders in Congress said it’s all or nothing on Wednesday as they rejected a Democratic push to carve out food aid funding for more than 40 million Americans who stand to lose it as part of the government shutdown.

Democrats have repeatedly voted against reopening the government as they demand that Republicans negotiate with them to extend expiring health care subsidies. But they pushed for expedited approval of legislation to continue funding for the Supplemental Nutrition Assistance Program, or SNAP, in the meantime.

“It’s simple, it’s moral, it’s urgent,” Senate Democratic leader Chuck Schumer said as he called for passage of the SNAP funding Wednesday.

Senate Majority Leader John Thune, R-S.D., angrily objected to the Democratic request, calling it “a cynical attempt to provide political cover” for Democrats to continue the shutdown, now in its 29th day.

“We’re not going to let them pick winners and losers,” Thune said. “It’s time to fund everybody.”

If Democrats want to prevent damage from the shutdown, “they can end the shutdown,” Thune said.

The increasingly pointed statements from lawmakers on Capitol Hill reflected growing frustration and pressure that is building as the SNAP deadline looms and federal workers face missed paychecks this week.

Vulnerable families could see federal money dry up soon for some other programs, as well — from certain Head Start preschool programs to aid for mothers to care for their newborns through the Special Supplemental Nutrition Program for Women, Infants, and Children, known as WIC.

Another group at risk from the shutdown — members of the military — won’t miss a paycheck on Friday, as the Trump administration plans to tap existing accounts to cover their payroll.

The Department of Agriculture has posted on its website that the SNAP benefits will end Friday. “Bottom line, the well has run dry,” the statement read.

Almost two dozen states have filed a lawsuit arguing that President Donald Trump’s administration has the money to continue the benefits and is legally required to do so. Schumer said that SNAP benefits have never stopped during previous government shutdowns and that Trump is “picking politics over the lives of hungry kids.”

Republican leaders, in turn, blamed Democrats. The solution, they said, was for Democrats in the Senate to allow for passage of their short-term funding patch that has so far failed 13 times in that chamber.

“Things are getting really tough on the American people,” House Speaker Mike Johnson said on Wednesday.

The House has been out of session since mid-September, and Johnson is resolute that he will not bring the chamber back until the Senate has passed a bill to fund the government. The House passed the bill Sept. 19.

Senate Democrats have shown no signs publicly that they are backing away from their insistence that a government funding bill also include help for millions of Americans who purchase health insurance coverage on the exchanges established through the Affordable Care Act.

Still, Thune told reporters there’s been a “higher level of conversation” with Democrats this week and that he may soon get personally involved.

But the underlying dynamics of the impasse remained the same. Thune said that he’s assured the Democrats all along that they could have a vote on a bill to extend health care subsidies “as soon as they’re ready to open up the government.”

In addition to the SNAP benefits, several other government services faced critical shortfalls if the shutdown continues.