It can take anywhere from a couple of days to a few weeks before the status is updated on the IRS website.
Since your returns are showing as accepted within TurboTax, this mean your return has sucessfully been transmitted to the IRS. Therefore, the IRS has your return in their system to process.
Please see "what does accepted mean" for more details on how this process works.
If you are anticipating a refund, please see this link for more details on when to expect your refund.
If you had to make a payment, please see this link for more details on when you can expect your funds to be taken out of your account.