The Kentucky Republican also doubled down on his opposition to a no-fly zone.
They want Republican leadership to bring up legislation for a vote.
The Florida Republican said that Iran is using the reporter as a "pawn."
Government funding expires Dec. 11.
Illinois is one of dozens of states where governors oppose accepting Syrian refugees.
The Iowa Republican wants Defense Secretary Ashton Carter to look into the allegations.
Cristina Marcos 11/20/15 05:10 PM EST
Rep. Yoho wants to allow governors to reject Syrian refugees.
Sen. Chuck Grassley's office said the Iowa Republican's source is "well-known" to Democratic staff.
Democrats are pushing to block those on the terror watch list from buying guns.
Lawmakers have focused on the visa waiver program in the wake of the Paris attacks.