Moderate after anonymous edit

Ok. I find out it does goes back to pending, but there’s no notification on the screen that being moderate or no emails are sent out.

I understand you mean this https://github.com/simpliko/wpadverts-snippets/blob/master/anon-edit/anon-edit.php snippet?

If so then it will send a notification but only if you have the Emails module enabled, if not then you would need to customize the code to send the message.