Correct, if your e-file status shows "Accepted", the IRS did not reject your return and it passed their initial check.
For the most up to date information on your refund, you can track your federal refund here: Where's My Refund? which provides your current status. You may also download the IRS2Go app to check your Federal refund status.
You can track your State refund here - How do I track my state refund?
Here is the general timeline of e-filed returns:
Transmission > Acceptance > Processing > Approval > Refund.
When will I get my IRS tax refund?