I need to mark the tax refund status as received since the tracker is stuck in "Accepted" status. I keep seeing it in my face everytime I use Mint or Turbo tax.

Accepted for processing is correct ... there is no such status as "received".  The program will never be in any other status once successfully efiled.  

Why does Mint give you your tax filing status? No idea.

Why are you using TurboTax if you already filed.?

come back next year.

Do you have more than one account ?   If so that could be triggering the warnings which will eventually go away so just ignore them if you already successfully efiled.