People could have more faith in the process without more legal cases like Florida 2000 (which kept Gore out of the White House despite him winning the vote in Florida), the Brooks Brothers Riot[0] and its 2020 replicas, the 2019 Georgia governors race (where the Republican candidate was also the secretary of state responsible for counting the votes; needless to say, there were 'irregularities.'), pervasive efforts to prevent demographics that historically do not vote Republican from voting[1], manipulation of the postal service to disenfranchise likely Biden voters[2], the continuing myth of 'voter fraud' that the GOP spreads[3] to justify disenfranchisement, and the constant drumbeat of 'it's rigged if I don't win' emerging from Trump's Twitter account and replicated by Facebook and other right-wing media outlets.
There's no clear way to restore faith in the electoral process without removing disdain for democracy from the Republican Party's DNA.
[0] https://www.msn.com/en-us/news/politics/what-is-the-brooks-b...
[1] https://en.wikipedia.org/wiki/Voter_suppression_in_the_Unite...
[2] https://www.washingtonpost.com/business/2020/11/05/usps-late...
[3] https://www.cnbc.com/2020/09/24/fbi-has-not-seen-evidence-of...