Filter By Stock Status

Hey,
I can see that there’s an option to include the stock staus anywhere with a shortcode [woo_custom_stock_status], I tried to add it to my widget – shop page, where my customers can filter their products based on other conditions (color, price), but it doesnt seem to work, it renders one custom stock status title and I’m unable to filter the products with it, its a single string. Is there a feature or other shortcode that could be used for filtering products?
Thanks!

The page I need help with: [log in to see the link]