You can add predictive search bars to your WooCommerce website so your customers can search for products in real time. To do this go to your WordPress Dashboard > Plugins > Add New and type in YITH WooCommerce Ajax Search.
Once installed and activated you will find a new tab in your side menu named YITH Plugins and in that will be Ajax Search.
Here you can change the search input label, submit label, minimum number of characters before a suggestions appears and maximum number of results that will appear. Next you will need to add the widget to a sidebar on your shop page.
Go to Appearance > Widgets and locate the widget YITH WooCommerce Ajax Navigation Product Search. Drag and drop the widget into a sidebar that is located on the shop or product page and you will be able to use your predictive product search bar rather than the standard search bar that comes with WooCommerce.