Logrotate - nginx logs not rotating inside docker container

As stated on the edit on my question the problem was that CMD from nginx:1.11 was only starting the nginx process. A work around is to place the following command on my Dockerfile

CMD service cron start && nginx -g 'daemon off;'

This will start nginx as nginx:1.11 starts it and well as start the cron service.

The Dockerfile would look something like:

FROM nginx:1.11

# Remove sym links from nginx image
RUN rm /var/log/nginx/access.log
RUN rm /var/log/nginx/error.log

# Install logrotate
RUN apt-get update && apt-get -y install logrotate

# Copy MyApp nginx config
COPY config/nginx.conf /etc/nginx/nginx.conf

#Copy logrotate nginx configuration
COPY config/logrotate.d/nginx /etc/logrotate.d/

# Start nginx and cron as a service
CMD service cron start && nginx -g 'daemon off;'

i found a method from this link, its core idea is use logrotate outside, and conf is as below:

$ sudo vi /etc/logrotate.d/test
/home/test/logs/*log {
    rotate 90
    missingok
    ifempty
    sharedscripts
    compress
    postrotate
        /usr/bin/docker exec nginx-test /bin/sh -c '/usr/sbin/nginx -s reopen > /dev/null 2>/dev/null'
    endscript
}