The forms for MO will not be available to file until 1/20/2017 so you would not be able to file your MO state income taxes until that date. On this date, you will be able to log back into TurboTax and complete your MO state income tax return.
Here is a list of all state income tax forms (including MO) and when they will be available for filing:
https://ttlc.intuit.com/replies/3319879
