Accepted means that you passed the basic identity verification with the IRS. Once your return gets accepted then only the IRS knows when they will issue your refund. TurboTax does not get any more information after your return has been accepted.
Once your returns have been accepted, the IRS states that nine out of 10 e-filed tax returns with direct deposit will be processed within 21 days of IRS e-file acceptance. Mailed paper returns: If you filed a paper return, please allow 4 weeks before checking the status. Refund processing time is 6 to 8 weeks from the date the IRS receives your tax return.
You can checked the IRS website Where's My Refund for your information?
https://www.irs.gov/refunds
Please note that the IRS website, Where's My Refund, has not been updating as it should, so you might have your refund in your bank account even though there is no update to the IRS website. It happened to my son, his deposit was in his bank account even though the IRS website still showed received.. So you might want to check your bank account.
If you have a State refund, click on the following link, then click on your State
https://ttlc.intuit.com/community/refund-status/help
