How to edit the responsive styles of modules
In the Live Composer page builder, almost all the modules have a "Responsive" tab which allows you to style the CSS of the module without touching the style.css file of your theme. From this panel, you can style the look of the module for tablets and mobiles separately.
At this moment, there is no "one type control" for all the modules. You need to style the modules one by one, even are the same module types.
The "Shortcode" module doesn't have a "Responsive" tab since is dedicated to the usage of third-party scripts, plugins or content.