Hello,
The issue is not related to the WoodMart brand’s functionality itself. Your developers replaced the default product archive with a custom Searchanise container (snize-custom-cat), so when clicking the brand logo, the request is handled by Searchanise instead of the normal brand taxonomy archive.
Because of that, the brand page does not properly filter products by the selected brand.
You will need to keep the custom Searchanise layout only for search results pages and use the normal archive layout for brand/category archives.
This way, clicking the brand logo will correctly open the brand archive and display related products normally.
Further, you can read more about the Layout Builder here: https://xtemos.com/docs-topic/woodmart-woocommerce-layout-builder/
Best Regards