Search results adding woocommerce products

Hi,

I'm trying to customize our search results.
Now it show the correct content when you search.
Only the products are shown like other results.
Image + short description + link.
That's not really handy since I would like to show the same details as on a normal product archive page.
(Price and extra image are missing)

Any idea how to add these?

I tried the "generate_navigation_search_output" but this only shows products.
And I prefer a mix of pages and products.
Also doesn't work since I use "wpc_shop_url_redirect" to redirect the shop page to a custom page.