Trump can not continue to act as president even though the election was rigged, and he got many more votes than Biden. The congress certified the electoral vote for Biden.
Knowing the election was rigged, military intelligence informed the chain of command, and they will take charge to prevent a foreign controlled fraud from taking office.
When the military has exposed this to the public, Trump will come back and be inaugurated as president for 4 more years.
I think the constitution will be amended to move the inauguration date back to March, like it originally was. That will compensate Trump for this interregnum and provide time to audit disputed future votes. And I’m going to buy another My Pillow.