I do strongly believe, that the default search from WordPress/Woocommerce could be better 🙂 I’m also fully aware, that your theme is not intended to support/extend the build-in search possibilities of Woocommerce – just visualize them 🙂
I would like to install Elastic Search or Algolia on my Woocommerce store. Do you have any experience with this in the sense of that the Woodmart search (autocomplete, search layer, etc) would work with these tools?