Hi
Users connect their DB without any problem(i mean users on Database B connect from location B,users on Database A connect from location A )then when the connection comes up,replicates DB changes between your 2 MBX Exchange.
Not how quorum works in this scenario. Quorum can only be achieved if you have a majority of votes (> 51%). If you don't have the majority of votes, no DAG for you.
SO here's what should happen. If you lose connectivity between the 2 sites the Exchange Servers in both sites check to see where quorum is. EX01 in Site A will see that it has it's vote and the FSW's vote so that gives Site A 66% of the votes,
it will also see that it cannot communicate with EX02 in Site A and mount DB2. Meanwhile in Site B, EX02 will see that it has lost communication with BOTH the FSW in Site A and EX01 in Site A and it will not have Quroum and will dismount it's database
and shutdown it's cluster service until communication is restored.
Once communication is restored, EX02 should add itself back to the DAG, replication should pick up where it left off, and once it catches up, you should be able to mount db02 on EX02 again.
The only way DB02 will stay mounted on EX02 during a communication failure between both sites is if you setup a 3rd site and put the FSW in that third site and communication does not fail between Site 3 and Site 2.