Tell me, in the category of more than 100 products. Output via shortcode on a separate page [product_category category="mezhkomnatnye-dveri"] , only shows 12 products, and other pages with products not shown. That is there is no numbering 1-2-3-4-5 beneath the products.
Looked in the code, styles, it is not hidden, it is not even formed in your code. And if you go on the home category page, everything is displayed properly.
Most likely there is no shortcode for pagination.
You can install other plugins that support the display products with pagination, or you can create a PHP template, there is a cycle to bring products to add pagination, and create a new shortcode. And add the shortcode to the page