Senate Minority Leader Mitch McConnellAddison (Mitch) Mitchell McConnellMcConnell: Taliban could take over Afghanistan by 'the end of the year' McConnell alma mater criticizes him for 1619 comments McConnell amid Trump criticism: 'I'm looking forward, not backward' MORE (R-Ky.) objected to Murray’s request. He said Republicans would agree only if the conference report would not be used to raise the debt ceiling or taxes.

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Murray criticized Republicans for saying they want to return to regular order yet then refuse to appoint conferees.

On Monday, Senate Majority Leader Harry ReidHarry Mason ReidBiden's first 100 days is stylistic 'antithesis' of Trump The Memo: Washington's fake debate on 'bipartisanship' The Hill's Morning Report - Presented by Tax March - CDC in limbo on J&J vax verdict; Rep. Brady retiring MORE (D-Nev.) tried to get a unanimous consent agreement to appoint budget conferees as well. Sen. Ted CruzRafael (Ted) Edward CruzCheney drama exposes GOP's Trump rifts Pollster Frank Luntz: 'I would bet on' Trump being 2024 GOP nominee Tim Scott sparks buzz in crowded field of White House hopefuls MORE (R-Texas) objected. Reid accused him of being a "schoolyard bully."

The Senate passed its first budget resolution in four years last month. Murray and her House counterpart, House Budget Committee Chairman Paul RyanPaul Davis RyanThe Hill's Morning Report - Presented by Emergent BioSolutions - Facebook upholds Trump ban; GOP leaders back Stefanik to replace Cheney Budowsky: Liz Cheney vs. conservatives in name only Cheney at donor retreat says Trump's actions 'a line that cannot be crossed': report MORE (R-Wis.), have been meeting about setting up a conference, but Democrats say House GOP members are dragging their feet because they’re afraid of a backlash from Tea Party elements within the GOP ranks.

The House-passed budget cuts $4.6 trillion in spending on top of the $1.2 trillion sequestration cuts already scheduled to take effect, and it balances in 10 years.

The Senate-passed budget has $975 billion in new taxes, does not balance, and turns off sequestration.