Ok ... so you failed to mail the federal return to the feds (because you sent it to the state by accident) so the feds never got the return which is why you could efile it now and it was accepted for processing which will take on average 21 days. The federal return had to be mailed to a separate address, the federal you sent to the state was never forwarded to the feds for processing.
Now for the state ... if the state sent your refund that is good, you are done with the state.
