Libraries and Version Controllers

Hello, I have a few libraries I using in more then one project of Codeigniter. Every project using own git container and own git backup.

Sometimes I need to update library and wants this library automaticaly updated on every of my project in git after commiting.

How can I organise this?

I has tried with git modules, but something goes wrong with location of library files and updating on every project, may be it's not working properly.