Read WooCommerce search not working- How to fix? for more information.
Woof Woocommerce Product Filter Plugin
WOOF is a powerful, flexible, easy, and robust WooCommerce Products Filter Plugin that extends the functionality of the WooCommerce plugin to allow your site visitors to make searching for products by their categories, product attributes, tags, products taxonomies, and price.
If you are a WP+PHP developer and you want to create something unusual in the search form interface – Welcome: using WOOF extension API and default extensions as an example you can create any HTML-items for the search form and even custom woo-products loop template for your own purposes. Also, it is possible to create any connectors for layout plugins.
However, even if you are not a developer, you can still get all these features with WP fastest site search without any coding. It adds a product filter enabled search bar that will greatly improve your UX and have a positive impact on your conversions.
Install the plugin from the plugin store and follow the setup instructions. You can further customize the search to behave to your liking and change the appearance to anything you want from the dashboard that comes along with the plugin.