Democrats lost an effort to have the committee hold a public hearing on the legislation, which would amend the Pennsylvania Constitution.
Voters in Westmoreland and Somerset counties will choose between candidates selected by the two major parties.
Republicans blocked a Democratic incumbent from being sworn in because his GOP challenger has disputed the razor-thin results of their election.
Gov. Tom Wolf said the state House Legislative Budget and Finance Committee has no authority to audit the election, and the audit "would be incomplete, duplicative, and unreliable.”
Newly elected state Rep. Jessica Benham is changing the makeup of the Pennsylvania Legislature.
Endorsing progressive, down-ballot candidates in state and local races is key to transforming the country, Sanders said.
The panel would have funding and subpoena power to review the fall election. Some officials fear it could interfere with the election.