If you have submitted both your Federal and State tax returns, and you have received notification that they have been accepted by either the IRS (federal) or state tax agency, then there is nothing more you have to do at the moment. 

They will be updated once they have been approved and your refunds (if you are receiving any) are on the way. 

You can check the status of each of your returns by using the links at the website below: 

https://turbotax.intuit.com/tax-tools/wheres-my-refund/