I think I'm still not getting my point across.

I'll make an example.
Let's call a group "A". This group has an email list. I set up an email address that will subscribe to the group on my server, let's call it "eA". This email address does not tie to a user in vB. I have eA subscribe to the email list of group A. So the email address eA is receiving the emails from the email list of group A.
I completely understand that even if the email addresses eA is a user on vB that it will not post because the send to header on the email list of group A contains the real address of the sender, who more than likely is not a registered user on vB.
So to circumvent this problem, I set up a user on vB called robotA. This user has their own email address, rA. Now, because rA is an email address with a valid user on vB, rA can post via email to the forum that uses EI.
Then I set up a forwarding on my server that forwards the emails that eA receives to rA. This changes the send to header. Then rA forwards this email to EI, which also changes the send to header. Because the send to header now matches a valid vB user, EI will process the reply.
Thank you for the previous quick replies and I look forward to your thoughts.