Illinois and Michigan have a reciprocal agreement. You pay tax to the state in which you live on income from the other state.
In your case, you file an Illinois return and claim that income.
If there was any Michigan tax withheld, you could file as a non-resident for Michigan to get that tax back.
The first 10,200 Unemployment is not taxable on your federal return and TurboTax has been updated for that. The state return section has not yet been updated as states are still deciding how they intend to handle unemployment.
You should have filed the proper paperwork with the Michigan employer when you became an Illinois resident so that only Illinois tax was withheld.
Reciprocal States
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