Using SSMS to connect to reporting services, the first thing you need to do is select Reporting Services as the type of connection, then type in the instance name you want to connect to (e.g. servername\instance).
The drop-down does not perform a search - it is more like a most recently used list and only displays the servers that you have connected to.
Jeffrey Williams
“We are all faced with a series of great opportunities brilliantly disguised as impossible situations.”
― Charles R. Swindoll
How to post questions to get better answers faster
Managing Transaction Logs