WooCommerce in custom plugin

Hi there,

This will probably be a super simple question and I’m most likely missing something.
I’m developing a plugin in which I need to show a certain category with a sidebar (subcategories & price range selector) on a view/page as if I was seeing a category in the store. I tried the shortcode but some stuff is missing such as ordering and list/grid view.
How can I archive this? Can anyone help me or guide me towards the right place?

Thanks a lot!