Theme support YITH WooCommerce Ajax Search plugin. This plugin creates a simple search box that shows you instant search results, by suggesting your products from your WooCommerce store that match your searching criteria.
By default the search bar is included, but without predictive search.
Install and activate YITH WooCommerce Ajax Search plugin. Thats all. Now the theme shows ajax search bar.
Plugin settings: Go to WordPress dashboard -> YIT Plugins -> Ajax Search