If your state return is showing as accepted, but you are unable to view the current status on the Ohio Department of Taxation website, you could give them a call and speak with a representative.
They would be able to access your account and provide you with any updates/information that they may have, or they may simply confirm that they have all of the information that they need at this time and are still working on processing your return.
Their number is: 1-800-282-1780
https://www.tax.state.oh.us/IFILE/WheresMyRefundWeb/wheresmyrefund.jsp
