Once your returns have been accepted, TurboTax does not get any information about refunds from the IRS & State. You need to check their website.
You can check the IRS website Where's My Refund for your Federal information?
https://www.irs.gov/refunds
For a State refund you would need to check your States website, click on the following link, then click on your State
https://ttlc.intuit.com/community/refund-status/help
