Hello,
Thank you!
I believe your question is a Joomla! related question. If I understand correctly, you should create a menu item that will show the article's categories selected in the module. Add this menu item to a separate menu (the idea is to create the menu but not have it showing on the website). Create a module for that menu but do not give it a specific position in the template (do not publish it). This will give you the ability to select which modules will show when you get to a specific article after clicking on news item.

This is a problem of configuration and I cannot really tell you what to do but make assumptions only, since I am not admin for your site. Are you using the module in an article or are you using a specific position of your template? I still think you should do the solution I suggested before to make sure the article shown after a click on 'read more' does not belong to 'home' anymore.