Cosmos DB provides session consistency (looks like an another name for causal consistency) at least since 2014 [1].
Cosmos DB's session guarantees [2]: consistent prefix, monotonic reads, monotonic writes, read-your-writes, write-follows-reads.
Mongo DB's causal consistency guarantees [3]: monotonic reads, monotonic writes, read-your-writes, write-follows-reads.
Doubt that four years later still qualities as one of the first.
[1] https://www.infoq.com/news/2014/08/microsoft-azure-documentd...
[2] https://docs.microsoft.com/en-us/azure/cosmos-db/consistency...
[3] https://docs.mongodb.com/manual/core/read-isolation-consiste...