The administration and maintenance of Microsoft Exchange Server to ensure secure, reliable, and efficient email and collaboration services across an organization.
You should shange the URL to new server. For mailboxes in old server, the new server(newer version) will proxy the request to the old Client Access server that exists within the mailbox’s local site.
You can read the blog for better understanding:https://techcommunity.microsoft.com/t5/exchange-team-blog/client-connectivity-in-an-exchange-2016-coexistence-environment/ba-p/603945
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IF you are having two members' DAG, you must have assigned a Witness server, where is the Witness server located?
DAGs with an even number of members use the failover cluster's Node and File Share Majority quorum mode, which uses an external witness server that acts as a tie-breaker. In this quorum mode, each DAG member gets a vote. In addition, the witness server is used to provide one DAG member with a weighted vote.
If it didn't lose quorum, the database copy will activate on the working server and mail flow should go through that server automatically.