Yes. If you want to prepare a state return using TurboTax (TT), you must first complete the federal return, in TT. Be sure that the federal return you prepare matches what you actually filed. You will not be able to e-file the CT return. So it will have to be printed and mailed.
But, you need to explain more. You may need professional tax prep help. What does "works remotely for a company in Connecticut " mean? You may not need to file a CT return if he did not physically work in CT. Was CT tax withheld? Did you file MFJ (Married filing jointly) Federal & CO returns? Normally you should not have prepared your CO (residence state) return without first having prepared a CT (work state) return.
This is the general rule: The income is work state (WS) source income only if it was physically earned there. Resident States (RS) tax all their resident's income, regardless of where earned. You file a non-resident tax return for the WS and report the WS income. You file a full year resident return for the RS, reporting all your income. The RS will give you a credit, or partial credit for any tax paid to the WS.
