If you are referring to a Federal refund and see the term "accepted" in Online TurboTax, that refers to the efile status; i.e., that the submission was accepted by the IRS for processing. At that point the IRS refund lookup tool would initially show "return received." After the IRS processes the return, the IRS "Where's My Refund" tool would show "return approved" and then that would be followed by "refund sent."
So if you are referring to a Federal refund, what do you see at the IRS WMR tool; is there any message?
https://www.irs.gov/wheres-my-refund