Pence's Presidential Street asked a judge to dismiss the case to make him the only person with authority to decide the electoral votes.
In a request to the federal judge on December 31, Vice President Mike Pence said that he was not the right person for the defendant position in the lawsuit.
"The plaintiffs submitted an urgent motion to the court, raising a series of legal issues about how presidential electoral votes are counted," said Pence's letter of submission.
Earlier, on December 28, MPs Louie Gohmert, Kelli Ward and many Republicans filed lawsuits with Federal Judge Jeremy Kernodle in Texas, demanding that Vice President Pence be "the sole authority.
Pence argued that the legal issues raised by Gohmert and the Arizona MPs should be directed to the House and Senate.
"A lawsuit to confirm that the vice president has the right to decide the number of electoral votes himself but suing the vice president himself is a legal contradiction," Pence added.
The lawsuit was filed after a group of lawyers representing Republican congressmen failed to convince Pence to participate in a "flip" in congressional elections, according to court records.
According to these lawmakers, the Electoral College Vote Counting Act of 1887 should be declared unconstitutional because it contradicts Article 12 of the US Constitution.
However, electoral law experts quickly argued that the Republican congress' s complaint was just a "hopeless attempt" to reverse the election results.
This is not the first time that Republicans have ignored party fundamentals in a desperate attempt to reverse the election results.