Cart Won't Update When Anonymous Users Add Products

I'm having an issue where anonymous users (not logged in) add products to cart and when they go to cart it doesn't show any products in it. Here is a product URL and cart URL to QA:

http://www.strellapa.com/shop/50-strella-aesthetics-gift-card/
http://www.strellapa.com/cart/

I've already disabled my caching plugin as well as disable cloudflare caching. I need more advice than just disabling third party plugins. Any help would be greatly appreciated!