Are you looking for tracking information for your returns? You can track the status of your return on the IRS Where's My Refund? site. That is where you will find the most up-to-date information regarding the status of your tax return and a specific date of when to expect your refund.
Per the IRS, most refunds are received within 21 days from the time a return has been accepted and a refund option is selected. If you selected direct deposit, once the IRS sends the money to your bank the time frame for seeing the deposit in your account is based upon how quickly your bank accepts and deposits the funds.
For additional information, please see the TurboTax FAQ When will I get my IRS refund?
For information on the progress of your state tax return, see the TurboTax FAQ: How do I track my state refund?