Before you e-filed your tax return using the TurboTax online editions, in the File section of the program on Step 2 when you have a tax refund you were given several options on how to receive the tax refund. If you chose to receive the refund by check in the mail, that is how the IRS will be sending you the tax refund. You cannot change the method of receiving the refund after the tax return is filed.
Once a tax return has been Accepted by the IRS or a State, TurboTax receives no further information concerning the tax return or the status of any tax refund.
If accepted by the IRS use the federal tax refund website to check the refund status - https://www.irs.gov/refunds
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
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 an Issue 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
