Hey Aylin,
Do you mean that you want the 3rd party module to replace EasyBlog's single category layout? If that is so, unfortunately this is not possible. Modules are elements that appear among the site's contents. You cannot replace content with modules.
This
page is actually Joomla article category and not EasyBlog. It does not have any content which is why it looks like the module is replacing the content.
One way you can try is to create empty Joomla articles and use the loadposition method(
reference) to populate the 3rd party module.
It would look something like this(
http://take.ms/B5m9U).However, if you click on the category link, it will still lead you to EasyBlog's single category page. So it still doesn't really work. You may consult your webhosting provider to configure htaccess to redirect users back to the 3rd party module page if they click on that single category link.
Overall, I would not recommend trying to replace Easyblog content with a module as you may end up with more complications/issues on the site.