as of now $$title$$ is working as a woocommerce product title, but there is no way to add product tag or product brand on the shortcoder or I don’t have any idea how to achieve this with woocommerce site.
As of initial release, basic things will be helpful e.g. product_brand, product_cat, product_tag & product_attributes. (these things I need as of now)
other things that can be added: (maybe later)
product short description
product regular price
product sale price
later on, woocommerce basic parameters linking functionality. (e.g. product_brand parameter linking to that specific brand as an anchor text, but there should be an option to keep it like normal text or linked text, this will be helpful for many user cases).