After you file

Yes, my W-2 shows both taxes paid to IL and MO (MO is a lower amount, but still some paid). I think the problem is in this question below. If I chose the top one (part yr resident filing as resident), it prompts me for the "taxes paid to other states" question. However, it does not seem to let me specify how much I earned while a resident (it assume full year vs portion of the year). 

If I chose the bottom one (part yr resident filing as non-resident), it does not prompt me with the "taxes paid to other states" question. 

In either scenario, it is over-predicting how much I owe to MO.