I would like to ask if what is the next step of "accepted" status

[dale294]

What is the next step of "accepted" status both of my federal and state taxes got accepted today. All i need to know when can they mail it? 

[Lisa995]

Once the returns are accepted, TurboTax is out of the loop.  You'll need to check the refund status on the IRS website and your state's website.

[DoninGA · Accepted solution]

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

Use this TurboTax website to check the status of an e-filed return and if it was either accepted or rejected - https://turbotax.intuit.com/tax-tools/efile-status-lookup/

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