Acceptedis the status of your tax return—not your tax refund.
Once your return has been accepted (received) by the government, they take over the refund status update duties, since they hold the purse strings. The status in TurboTax will remain as accepted.
Use the IRS Where's My Refundsitefor the latest word on your federal tax refund and yourstate government's refund lookup servicefor the latest on your state refund.