Until that state starts reviewing and processing your return, they won't have any record of it when you go to check status on their website. Since Ohio's Department of Taxation has stated to expect direct deposit within 15 business days (not including weekends), I'd just say give them more time and check status again in a few days. More details on this can be found below.
Accepted in TurboTax just means the government has received your return but not processed it yet. The next step would be for them to process and approve your refund. Processing times may vary. The status will no longer update in TurboTax and will remain as accepted from here on out since your state now has that return.
How do I track my Ohio tax refund?
