Hello @TestDeveloper12345 ,
you want to move data over from Azure to another cloud.
This data are messages created after database changes in CosmosDB.
I recommend checking out how to trigger an Azure function when a CosmosDB trigger is hit:
You need to call some 'public endpoint' on the other platform (like GCP) like a webhook or an MQTT service or WebSocket.
Another alternative is using Azure EventGrid and emitting CloudEvents. The GCP service called Eventarc supports this,