If your status is showing as accepted at the link below, then I would rely on this information:
https://ttlc.intuit.com/replies/3319882
Also, you can check on the status of your refunds by using the links at the website below:
https://turbotax.intuit.com/tax-tools/wheres-my-refund/
As long as your Federal and State returns are shown on the sites above as accepted and are processing, then you have successfully filed and there is no further action for you to take at this point.