Reid said Senate passage of the House CR was critical in preventing another shutdown.
Reid blocked Sen. Bob Corker from separating the stopgap spending measure from authorization for training Syrian forces.
Blumenthal's bill would end antitrust exemptions for sports leagues if they don't act ethically.
Senate Republicans blocked Sen. Elizabeth Warren (D-Mass.) from bringing up her student loan bill.
Sen. Mike Enzi expressed concerns about the stopgap spending bill Congress will pass this week.
McConnell vowed that if Republicans control the Senate, reforming the NLRB would be a priority.
The Senate passed a bill Monday that extends a national advisory board on student financial assistance for one year.
Republicans say the Democrats are wasting time on political show votes.
“A woman who performs the same work as a man should be paid the same as a man,” Reid said. “Senate Republicans simply cannot accept that notion."
A bipartisan Senate bill to reform nonviolent drug sentencing would save $4 billion.