The Senate will take a procedural vote on Feb. 22.
Rep. Labrador argued House GOP leaders are bad negotiators.
Cristina Marcos 02/11/16 05:11 PM EST
The vote came after the GOP decided not hold hearings on Obama's final budget.
Sen. Mike Lee objected on behalf of Rubio, who was in South Carolina.
The legislation was stalled over a fight on an Internet tax ban.
Defense hawks are calling for extra funding.
The Senate is hoping to pass the customs bill Thursday.
Sanders had expressed concern about North Korea during last week's debate.
Sen. Chris Coons (D-Del.) said he will try to bolster funding in the appropriations process.
The bill sets standards for research being "worthy" of federal grants.