Ohio has changed the way they do that. I think 2023 was the first year. You used to have to file two separate forms SD 100 if you lived in two separate school districts (SD). Now, you file only one SD100.
Since it's new, there were problems last year. I know they worked on it, but haven't checked it this year. Go carefully through the interview. I did get it to work at the end of last season.
TurboTax (TT) does not automatically prepare a School District return (form SD100), you must initiate it.
At the screen, in the Ohio program, titled "A few things before we wrap up your state taxes"
scroll down to School District taxes.
Or later at the screen "Your 2024 Ohio Taxes are ready for us to check"
-Click Other situations
-Scroll down to School District taxes.
Usually the School District Income Tax (SDIT) return is e-filed with the state return, but there are exceptions. Read the Ohio 'filing instructions" that TurboTax prepares, They will tell you if the SD100 was e-filed or if you have to mail it.