logrotate

Check to see if installed

which logrotate

if not installed run

apt-get install logrotate

check again if installed

which logrotate

place a file inside of /etc/logrotate.d

/tmp/broken.w/* {
        daily
        dateext
        dateformat %d%m%Y
        maxage 7
        missingok
}

logrotate --force /etc/logrotate.d/nginx

To verify if a particular log is indeed rotating or not and to check the last date and time of its rotation, check the /var/lib/logrotate/status file

cat /var/lib/logrotate/status