As soon as you login after filing your return, the first thing that you will see is your status of the returns.
After e-filing, simply re-open your return or sign back in to TurboTax. Your e-file status should be the first thing you see.
If you don't have access to your TurboTax return, you can also check your status online.
I filed my taxes electronically on 4/7/2020 . I have not gotten a acknowledgement that the irs or state have received my taxes
Have you checked your e-file status?
How do I check my e-file status?