YITH WooCommerce Recently Viewed Products allows you to show the recently viewed products of the users in the product detail page, or using the related widget and shortcodes. In addition to using cookies to store the information of logged and non-logged users, the plugin will also store the information of logged users in the database.
So when users log to the site, the cookie will be deleted and its information stored in the database. Doing so will let users see their recently viewed products regardless the browser used, as the system will get these information directly from the database (and not from a cookie).