YITH WooCommerce Quick View allows the users to have a quick view on the product from the Shop page without having to open the product page.
The integration with YITH Added to Cart Popup allows opening the Added to cart popup when clicking on the Add to cart button from the quick view window.
After installing and activating both plugins, go to YITH > Quick View > Product > Content options and make sure the option Enable Ajax Add To Cart is enabled.
For further details about YITH WooCommerce Quick View settings, please refer to the official documentation.