How do I put module content on a page?

Module content is different than static content, in that it can exist on multiple pages at once. As such, you will add it to the page differently than you would static content. 

To add module content to a page, you'll first need to create a page of that module type. Once you've done that, you'll go to the module itself and create the content there. When you're creating the module content, you can assign it to the appropriate page(s), where it will populate automatically.