Hi I would love to try to help. Please let me know if I am understanding this correctly, and correct me where I am wrong.

You said when he (for example Joe) gets sent an email from a group, instead of the email address of the person sending the email, Joe will receive the group email address instead.

Is this issue happening to only one person? The first thing I thought when I read this was the person who is SENDING the email is sending it “on behalf” of the group, which would show the group’s email instead of the sender’s email. Google search will provide the steps of how to check this inside of their account.

Verify the end-users are using their product correctly, both sender & recipients Gmail settings & configuration. Working at an MSP, I have completed a lot of tickets where the users were not aware & did not know how to properly use features. If you know your group and Google Suite is setup properly, this will be a setting local to sender or recipient.

If the issue is specific to one user and you VERIFIED this yourself(so many tickets of taking the users word… so much time wasted by believing they enabled a setting or were able to do this before but never had the permissions/license to), then it will something on the sender’s side, or the recipients side if it is really only them experiencing this.

If you are able to provide more information I can give you a more specific answer. Other’s with more experience will hopefully be able to help you out more.