Hi VDP,
To know about the situation clearly, I’d like to have a look at your mailboxes on ECP. Please capture the screen shots I mentioned above.
You can click Settings under Outlook on Admin page.
1. Locate the Mailboxes tab, capture the screen shot of the mailbox list and post it in the thread (remember to cover your private information).
2. Locate the Distribution Groups tab, please also capture the screen shot of the group list and post it.
I understand that emails sent to info@domain.org are forwarded to your Google account, now you want emails sent to vdp@domain.org also be forwarded to your Google account. You can use inbox rule to achieve this. For detailed information, refer to help.outlook.com/.../bb899620.aspx
Thanks,
Young Yang