I have a requirement to copy the azure managed sql service db into an on-premise instance. But when I searched on the topic, I am able to find options for migrating on-premise to azure managed service instance. But not the other way around. Kindly share your thoughts.
If I understand your question correctly you don't want to synchronize those databases but just copy the database from Azure SQL to on-premises SQL.
In this case, you can simply export the database as a BACPAC file and import it locally.