Based on the information you provided, you are only required to file a MO state tax return.
In the Personal Info interview of TurboTax, do not check that you "Lived in another state" or "Earned Money in another state".
Active-duty military (and their spouses) are considered to live in their state HORs no matter where they are stationed. Their active-duty pay (and spouse's civilian pay) are considered to be earned in their state HOR.
When you complete the My Info Personal Interview (both of you):
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Select Missouri as your state of residence;
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Answer "No" when asked if you "Lived in another state in 2020?" That question only applies if you changed your state of residence in 2020.
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When asked if you "Earned money in another state?", answer "No" (unless the military member had non-military income in the state where you are stationed).
