Tuala Iosefo Ponifasio believes the pair had committed numerous breaches of the Standing Orders - the written rules of procedure that provide for the conduct of proceedings in the House.
Tuala asked the Speaker to refer the matter to a Privileges and Ethics Committee.
In a press conference last week Tuilaepa rejected the content of the complaint, saying it is foolish, baseless and a waste of time.
The Speaker told the two HRPP members to make written responses by Monday afternoon.
