Hello,
Thanks for the topic. Hope you are having a nice day.
I’ve enabled cart http://prntscr.com/hmvfv7 Please check http://prntscr.com/hmvgw4, style of cart you may change in Theme options General > Header settings http://prntscr.com/hmvg9s
Also seems the “add to cart” functionality is bit changed because of some plugin that you use, so try to disable all 3-rd party plugins (means the plugins that are not included in the theme package are not in the list of required plugins https://www.8theme.com/demo/docs/woopress/#!/external_plugins) and then check or disable “AJAX add to cart for simple products” option http://prntscr.com/hmvhm2
Let us know if you need any further assistance.
Regards