Migrate Exchange to new domain requires access to archives

I have an EV mailbox archiving server and an exchange server in domain A and recently installed a new Exchange server in domain B. Domain B mailbox are being archived over the Cloud.

I have recently migrated few mailbox from Exchange in domain A to new Exchange in domain B but would require these migrated users to access their archives sitting on EV server in domain A.

If I understood correctly, all I need to do is to add the domain B Exchange in to EV in domain A, create a provisioning task (but no archiving task as this mailbox is being archived over the cloud) for it?

Please stamp my understanding...