Could you please suggest addresses of the Federal and Missouri State Tax authorities where I should send my checks with tax return? Thank you

According to the IRS website, a paper-filed return with a balance due should be mailed to the address below:

Internal Revenue Service
P.O. Box 931000
Louisville, KY 40293-1000

According to the Missouri Department of Revenue, a paper-filed return with a balance due should be mailed to the address below:

Missouri Department of Revenue

P.O. Box 371

Jefferson City, Missouri 65105-0371

You can view this link for further instructions.