Despite the legal failure, a group that supports Trump still cooks a plan to "overturn" in the vote counting session in the parliament on January 6.
The lead of this effort was Republican Representative of Alabama Mo Brooks.
"Under the Constitution, we have a higher role than the Supreme Court, or any state or federal judge. What we say is the final verdict," Brooks said in an interview with NYTimes.
The Electoral College, with a total of 538 electors from 50 states and the capital, Washington on December 14, directly voted for the president.
According to the constitutional rules and the 1887 Electoral Vote Counting Act, this process could be intercepted in parliament, if a congressman and a senator jointly submitted documents to oppose the counting of votes.
No Republican senator has yet publicly said they would support Brooks' last-minute push, although some allies are close to President Donald Trump, including Sen. Wisconsin Ron Johnson and Upper.
The counting of electoral votes will stop if there is a written objection from parliamentarians from both houses.
According to the National Assembly Research Service, both houses must agree to a written opposition to the election results, otherwise the petition will fail.
In American electoral history since 1887, only twice as many protest documents were submitted, once in 1969, because of one elector's disobedience, and once in 2005, on voting irregularities.
Several Republican senators, including Patrick Toomey of Pennsylvania, Susan Collins of Maine, Lisa Murkowski of Alaska and Mitt Romney of Utah, have vehemently rejected the intention to overturn the election results.
"The January 6 meeting will help confirm that no matter how many objection documents are submitted and whoever promotes it, the outcome of the process cannot be affected. We are on our own.
However, he noted that the vote counting session could still have consequences in the next few years.
If that doesn't happen, Republicans seem to be sending the message that despite the pressure from Trump, they still trust the election results and are willing to recognize Biden as a legitimate winner.
According to commentators Nicholas Fandos and Michael Schmidt of the NY Times, the dilemma is particularly awkward for Vice President Pence, who is expected to run for president in 2024.
As Senate President, Pence is constitutionally mandated to open and tally envelopes sent from 50 states, and then declare voting results from electors.
"People have never paid attention to or thought about the role of the Vice President in the transition of power. However, with Donald Trump, now you have to consider all possibilities," said Gregory Craig, Home advisor
Since the election, Pence has been sending chaotic messages about how far he's willing to go to help Trump.
Democrats have expressed confidence that Biden will enter the White House smoothly, but his transition team has begun contacting House Speaker Nancy Pelosi and Senate minority leader Chuck Schumer, aiming to
Senator Brooks is trying to garner support, by meeting with senators last week.
"The possible achievement from fulfilling that goal is that Donald Trump will win the electoral votes. I believe that is the reality, if only valid votes are counted from eligible US citizens.
It is not clear how vast an alliance Brooks can build.
"All eyes are on January 6. I think there will be a bit of debate and discussion in parliament in the process of confirming the electoral votes. In our opinion, there is still evidence to be considered.