Yes, BetterDocs work with Shortcodes perfectly. You can easily showcase your documentation Category Grid, Category List, Search form, and Feedback form on any page of your website by using the Shortcodes.
You can find it from WordPress Dashboard → BetterDocs → Settings →ShortCodes. For more details, you can check out the documentation on how to use BetterDocs Shortcodes.
If you face any issues with this, feel free to reach out to our dedicated support team and we will help you out with your queries.