First thing to check is if the SYSLOG messages arrive in the syslog.log file on the server.
Second is with what IP address are the message received.
I admit that I still haven't experimented as much as I should, but I think the SYSLOG sending IP address should match the management IP address of the device in LMS
So 'logging source-interface ' is best practive IMO.
Cheers,
Michel