Hello,
First of all thanks for choosing our Theme, we are glad to be you in WoodMart WordPress family :-).
Yes,I have test your site and noticed that the sidebar cart is working just fine but the actual cart page did not display the cart items and when we refresh the page roundabout after 1 minute then it shown the cart items.
It seems some of the third party plugins conflicts with the default WooCommerce functionality. Because the cart page is a part of WooCommerce functionality and our theme does not influence this. Could you please test with some default theme like twenty nineteen so it will be clear that it’s the theme issue or not.
Also try disabling all the third party plugins and clearing your site and browser cache. This will surely fix the issue.
Best Regards.