I am using EWS Managed API 2.2 and it does not show the Exchange version 2016 in its enumeration. I can see the versions upto Exchange 2013. So how can I connect to Exchange Server 2016? Is the API, yet to be updated from Microsoft or do I need to use any other API's to connect to Exchange 2016 ?
It will connect just fine. You don't need to set the version to match the server, you set the version to indicate the lowest level of service you support.