The White House insisted the get-together was "not an advocacy meeting" and cast it as routine.
In their joint statement after Friday's meeting, Michigan Senate Majority Leader Mike Shirkey and House Speaker Lee Chatfield said they used the meeting to seek additional coronavirus relief for the state.
The president has baselessly cast doubt on the vote in the swing state of MI, which he lost to Mr Biden by approximately 150,000 votes and has waged a campaign to pressure Republicans in the state to back him in reversing the outcome. Such a move would be unprecedented in USA history.
White House press secretary Kayleigh McEnany said in a briefing Friday that the visit from the lawmakers was not about the election results.
MI state Senate Majority Leader Mike Shirkey, right, arrives at the White House to meet with President Trump.
Trump said on Saturday that the media were misreading the statement, in which the pair also said they had faith in a review being conducted by MI lawmakers. That claim was not true, as Wayne County did certify Biden the victor earlier that day.
After a series of court defeats, the Trump campaign is trying to convince Republican-controlled legislatures in battleground states won by Mr Biden to set aside the results and declare Mr Trump the victor, according to three people familiar with the plan.
The lawsuit comes as Mr Trump continues efforts to overturn the results of the November 3 election in states decisive in his defeat by Democrat Joe Biden.
Shirkey and Chatfield did not reveal whether they spoke to Trump about voting on electors that run counter to the state's vote, saying instead that they discussed federal funding for COVID-19.
At least four other people who work in the White House, in addition to Andrew, have contracted the disease in recent days, the New York Times reported Friday afternoon.
"Michigan's certification process should be a deliberate process free from threats and intimidation", the statement continued.
On September 24, Shirkey led the Senate to pass a resolution assuring that electors will vote for the candidate with the most votes as certified by election officials. "These are simple truths that should provide confidence in our elections".