Для приема с других хостов:

/etc/rsyslog.conf

# provides UDP syslog reception
$ModLoad imudp
$UDPServerRun 514

# provides TCP syslog reception
$ModLoad imtcp
$InputTCPServerRun 514
 

service rsyslog restart

http://www.k-max.name/linux/rsyslog-na-debian-nastrojka-servera/