While it's easy to add multiple different orgs for 365 it's not possible to add multiple different orgs that use the same on-prem exchange since the organisation name is taken from the server name and the server name is the same for all orgs in that environment.
It would be good to be able to choose a custom organisation name and keep the server name seperate.
Quote from case # 02473762
Please see our SE response as below:
I'd consider this a feature request, and encourage to create a new post in the VBO365 forum
Here is an example I could come up with, just so that it's really clear:
Mail server: mail.server.co.nz has 10 mailboxes in 3 organizations:
- firstname.lastname@example.org -> Admin user can access everything site1.co.nz
- email@example.com -> Admin user can access everything companya.co.nz
- firstname.lastname@example.org -> Admin user can access everything simpsons.co.nz
You'd like to add 3 organizations: site1.co.nz, companya.co.nz, simpsons.co.nz
Right now you would see 3 organizations named "mail.server.co.nz"
I'd imagine that it wouldn't be all that difficult a change, as we essentially do this for the Exchange Online mailboxes.
Hopefully that makes sense?