Please add rotation of /var/log/lastlog to /etc/logrotate.d/syslog, which is provided by sysklogd package (I have version 1.4.1-26_EL). Thanks.
There is no need to rotate /var/log/lastlog, this file is not growing in size.
Please add a comment in its man page, like in debian about this issue. NOTE The lastlog file is a database which contains info on the last login of each user. You should not rotate it. It is a sparse file, so its size on the disk is usually much smaller than the one shown by "ls -l" (which can indicate a really big file if you have in passwd users with a high UID). You can display its real size with "ls -s". Thanks.
This note is already in man page, added by upstream.