How to daily rotate logs, with data from the current day only?

To rotate the log at 11.59pm configure the /etc/crontab file as follow :

59 23 * * * <path_to_logrotate_command> -f <path_to_logrotate_schedule_file> E.g. 59 23 * * * /usr/sbin/logrotate -f /home/foo/logrotate/rotate_nginx

Actually, it would be better to just change the schedule of cron.daily, to something like this:

$ grep daily /etc/crontab 59  23  * * *   root    test -x /usr/sbin/anacron || ( cd / && run-parts --report /etc/cron.daily )

Remembering that this will be valid to each script inside /etc/cron.daily:

$ ls /etc/cron.daily -ltotal 48-rwxr-xr-x 1 root root  376 nov 20  2017 apport-rwxr-xr-x 1 root root 1478 abr 20  2018 apt-compat-rwxr-xr-x 1 root root  355 dic 29  2017 bsdmainutils-rwxr-xr-x 1 root root 1176 nov  2  2017 dpkg-rwxr-xr-x 1 root root  372 ago 21  2017 logrotate-rwxr-xr-x 1 root root 1065 abr  7  2018 man-db-rwxr-xr-x 1 root root  539 jun 26  2018 mdadm-rwxr-xr-x 1 root root  538 mar  1  2018 mlocate-rwxr-xr-x 1 root root  249 ene 25  2018 passwd-rwxr-xr-x 1 root root 3477 feb 21  2018 popularity-contest-rwxr-xr-x 1 root root  246 mar 21  2018 ubuntu-advantage-tools-rwxr-xr-x 1 root root  214 jun 27  2018 update-notifier-common

But if you need a specific schedule, just for a logrotate rule, the elected answer would be an option.