Hello @Clo 
Thanks for the report. 
This update cover pretty much everything you mentioned.
https://github.com/VaperinaDEV/fkb-pro-theme/pull/42
It contains a new setting where you can choose from category badge styles.
It isn’t contain the bar style yet.
category badge style
- bullet (default)
- box
Also added some support for Search Bar theme component and fixed the Docs topic list view on mobile.
I assume this is the GitHub - discourse/discourse-minimal-category-boxes · GitHub theme component. But I can’t repro it. 
Could you clarify more? Is this happens on other themes e.g. default theme too?