Hi Ramkumar S,
It looks ike you are already configure the documentation recomendation (https://learn.microsoft.com/en-us/azure/mysql/flexible-server/concepts-networking-vnet#private-access-virtual-network-integration) ,
In your vnet peering verify the status is connected.
The last step in order to complete this communication between peerings you need to create a private dns zone a link to the second vnet as you can follow here:
- How to create private dns zone https://learn.microsoft.com/en-us/azure/dns/private-dns-getstarted-portal
- Use the name mysql.database.azure.com https://learn.microsoft.com/en-us/azure/mysql/flexible-server/concepts-networking-vnet#private-dns-zone-and-virtual-network-peering
Let me know if you need further assitance here. Luis
If the information helped address your question, please Accept the answer.