As I explained earlier for my case, I got an SMS (because I submitted G-1145 form along with my EAD application) informing me about "acceptance" of my EAD application.
Acceptance is "not" an approval. It is just a confirmation that my application is successfully accepted to be further processed . Which means there was nothing wrong with the application I submitted
If my application was not accepted to be processed further, they would send back the application along with a letter explaining the reason why application was not accepted. In such case (for no acceptance) they do not send any email or SMS notification
In Summary if you sent EAD application along with G-1145 form, then
1. If Case accepted, then you will receive an SMS or Email and in mail you will receive receipt letter from USCIS
2. if case "not accepted", then wait for USCIS mail for your application sent back to you along with a letter explaining the reason why application was sent back