Moran, in the email, charges that "the Democratic-led Senate is failing to lead."

"The Republican-led House of Representatives has acted, they’ve passed legislation that keeps the government open and enacts historic, common sense spending cuts. The House has done its part.  House Republicans have governed and put up a fight worthy of the challenges facing our nation," he writes.

He goes on to say that Senate Majority Leader Harry ReidHarry Mason ReidTrump presses GOP to change Senate rules Only thing Defense’s UFO probe proves is power of political favors Nevada Democrat accused of sexual harassment reconsiders retirement: report MORE (D-Nev.) and Sen. Charles SchumerCharles (Chuck) Ellis SchumerConscience protections for health-care providers should be standard Pension committee must deliver on retirement promise Dem super PAC launches ad defending Donnelly on taxes MORE (D-N.Y.) "find plenty of time for the cameras, but can’t seem to find the time to actually pass any laws."

The email follows the Friday passage along party lines of the House GOP's continuing resolution to fund the government.

Reports indicate Reid will strip the measure of the provision defunding ObamaCare and send it back to the House for another vote, where its fate is unclear.

Democrats have accused Republicans of moving toward a government shutdown with their attempts to defund ObamaCare as a part of the CR. The White House has said it will veto any bill that defunds the president's signature health care law, and Senate Democrats have indicated the attempt is a non-starter in the upper chamber.

Republicans, however, have pushed back against the accusation that they want to shut down the government over the law, accusing Senate Democrats and President Obama of refusing to negotiate.

They're arguing, as Moran did in the NRSC email, that they've taken steps to fund the government and that any shutdown ultimately lies in Democrats' hands.

Moran asks supporters in the email to contribute funds to bring back a Republican majority in the Senate, because "the Senate Democrats are the ones who are failing to do anything but issue press releases."

"This is why we need a new Senate Majority that can restore a once-proud institution and fix a broken Washington. We need to do the work now, to ensure that our children and grandchildren live in a prosperous, strong and free America," he says.