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TurboTax will guide you through preparing your resident tax return for Ohio and non-resident return for Kentucky and will create the correct state tax returns based on your entries in the Personal Info Section and your W-2.

Review your personal information that you've entered in TurboTax, which is needed to help ensure that you create the correct state tax returns. Also, delete the state returns and start over.  You shouldn't ‌be paying taxes on the same income in both Ohio and KY. 

To delete your OH and KY tax returns, follow the steps below:

1. Launch TurboTax and select State from the menu and Continue
2. On Status of your state returns screen select the trash can and select delete next to OH and KY and confirm.

Refer to the TurboTax article How do I delete my state return in TurboTax Online?

To review your answers in the Personal Info section:

1. Launch TurboTax and select Personal Info
2. A summary screen will pop up
3. Select Revisit by Other state income
4. Make sure that you select Yes, I made money in states other than Ohio and enter that you made money in KY.

After you complete your federal tax return and you move to the State Taxes sections, both your non-resident KY and resident OH state returns will be listed.  Prepare your nonresident (KY)  tax return first. 

For additional information, refer to the TurboTax Help articles Do I have to file tax returns in more than one state?,  Why would I have to file a nonresident state return? and How do I file a nonresident state return?

Kentucky and Ohio have reciprocal agreements which means that if you live in either state and work in the other state, you only need to file a state return in the state that you live in.  If you didn't fill out that form, and your job withheld state taxes for KY, you should get a refund but you will have to pay your taxes for OH. You have to complete Form 42A809 and submit to your employer in KY, so they won't withhold taxes for KY any more.