Please note that this Support article contains frontend customizations via modifying the legacy Algolia template files, which are deprecated and unsupported by the Algolia Support Team.
For more information, please review this Support article - "Why is modifying Algolia template files for customizations not supported?"
If you'd like to increase the number of facet values to return (default 10), you can modify your limit parameter value in the refinementList widget.
To do this you'll need to create a custom hook, or modify an existing hook. The code might look something like this.
You can change those limits from "10" to the desired value.