WASHINGTON—Senate Republicans’ plan to extract more savings from Medicaid as part of their revised tax and spending package triggered a backlash within the party, raising concerns that leaders could miss their self-imposed deadline of getting the bill to President Trump’s desk by July 4.

The Senate released the Medicaid portion of President Donald Trump’s “One Big, Beautiful Bill” this week, proposing steep cuts to the health care program amid pushback from moderate members. “I’m shocked,

Senate Republicans are proposing deeper Medicaid cuts, including new work requirements for parents of teens, as a way to offset the costs of making President Donald Trump’s tax breaks more permanent.