Update production server (apache, wordpress, mysql) on docker containers, from staging server For our web servers running on Docker containers (Apache, mysql, wordpress, etc) we have a production and a staging virtual machines.

DEVs and content team work on staging and then I tar ball the files from the wordpress container and dump the mysql DB and scp them to production server.
Once in production I untar the files to the wordpress container and "restore" the DB. 
(in fact we use a server in the middle, but I'm skipping that here to keep it short)

I was thinking on an internal docker registry, but that's only for images... so I will need to start/restart the images to container. 

Or some kind of internal "GIT"? where I can push/pull versions?

what will be a better way to update production server?
My thoughts based on your described scenario are:


Your tarball strategy, as described, might sound safe but is prone to risk in my opinion. A better approach is to version-control the WP files you will modify, while keeping the core intact and within the Docker container. Here's a reference I have used in the past that talks about version-control strategies for WP. You would of course need to spend some time and understand which folders/files to version-control for your specific site.
The version-controlled files would be checked out on the host machine (which runs Docker) and be volume-mounted within your Docker container.
Everytime your changes are validated in Stage they get pushed to Git. Getting these changes into Prod would essentially be a git pull.
If you wish you might also use a tool like composer as part of your deployment workflow. A dependency manager should be part of any deployment worklow.


I would also recommend tying all this together with a tool like Ansible, i.e. use Ansible to


update local git repo
run the composer bits
ensure docker container is running


Disclaimer: Although I've worked on DevOps automation for Wordpress sites, I am by no means an expert on Wordpress, so suggestions and clarifications welcome.

Hope this helps.