Hi,
As you can see the id of the current menu item on the search results page is 101.
However, that is not a HikaShop menu item. And for the Joomla SEF to be able to display a page with a SEFed URL, it needs that the Itemid parameter added in the URL correspond to the component which has to display the content.
So on the search results page, the links to the result products need to have an item id in their URL of HikaShop.
In the HikaShop products search plugin, there is actually an option where you can force that id (and usually, you use the main menu item of your shop in that case.
If you don't, the search plugin will pick automatically the first HikaShop products/categories listing menu item it finds and use this id in the URL (and the Joomla SEF system will use it to add the alias of the menu item at the beginning of the URL).
So based on the description of your situation, you must have left that field empty and the system found that "country" menu item and used it automatically.
The best though is to enter the "canonical URL" in your products. There, write the URL that you want to be referenced by search engines for each product.
Then, in the HikaShop configuration, turn on the "force canonical URL on listings" setting and the links to the product page of products in the search results will use that canonical URL so it will be consistant with your HikaShop products/categories listing menu items. That will also help you with your SEO.