I don’t know how logging works in default OpenWrt, but Omnia seems to use syslog-ng. I also tried to enable logging in LUCI, but no luck. There was no syslog-ng configuration created.
So I created a new file /etc/syslog-ng.d/remote.conf with the following content:
Omnia luci has broken support for remote syslog configuration. Data entered in UI is not used anywhere. It is only stored in UCI database but NEVER pushed into appropriate syslog-ng config.
This should be bugreported I guess … and here it is: