If you're required to file a federal tax return, then you'll need to file a resident tax return for the state of Minnesota and a non-resident tax return for the state of Iowa.
Please view the link below for more information about Minnesota filing requirements.
http://www.revenue.state.mn.us/individuals/individ_income/Pages/Who_Must_File_a_Minnesota_Individual...
Please view the TurboTax FAQ below for instructions on filing a non-resident tax return.
https://ttlc.intuit.com/replies/3302052
Note: You must complete the non-resident state return first.
