In TurboTax, make sure after the Federal return is complete, you do the non-resident state (Missouri) next and last the resident state of Kansas.
Your KS return will have a credit for taxes paid to another state. Your resident state (KS) taxes you on all your income, regardless where earned, however will give you a credit for taxes paid on that income elsewhere so you are not doubled taxed.
It is still possible to owe some taxes to KS if you had no KS taxes withheld from your paychecks. Try this and post in comments if you need additional help.
