TurboTax receives no information from the IRS or a State once the tax return has been accepted. What you see on the TurboTax website is only an estimate.
Only the IRS and your State control when and if a Federal or State tax refund is Approved and Issued.
If accepted by the IRS use the federal tax refund website to check the refund status -https://www.irs.gov/refunds
After the tax return has been Accepted by the IRS (meaning only that they received the return) it will be in the Processing mode until the tax refund has been Approved and then anIssue Date will be available on the IRS website. See this IRS website for federal tax refund FAQ's -https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions