There is no direct way to do this and syslog collector in LMS is not designed in a way to forward the receiving syslog messages.
However, you can use the syslog Automated Action and bind it to use an external script to forward the syslog message which are received.
There is a document which stated that, by Joe, it will help :
https://supportforums.cisco.com/docs/DOC-11592
-Thanks
Vinod
-Thanks
Vinod
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