Sometimes you will need to force logs to be rotated. No problem. This can be done manually. Here’s the command.

logrotate -v -f /etc/logrotate.d/rsyslog

This will compress and rotate all the significant logs.

To check which logs your machine will rotate, examine the file /etc/logrotate.d/rsyslog

/var/log/mail.info
/var/log/mail.warn
/var/log/mail.err
/var/log/mail.log
/var/log/daemon.log
/var/log/kern.log
/var/log/auth.log
/var/log/user.log
/var/log/lpr.log
/var/log/cron.log
/var/log/debug
/var/log/messages

Done.