Specify image for search results page

Hello, how can I specify an image to be used when someone shares the search results page of my website?

I am using GP Premium and I also have YOAST installed. In YOAST; I can set a general image, but when someone shares the search results page of my website on Facebook, for example, Facebook does not show this image, but a Facebook icon, because Facebook finds this as the first image file on my website. For I didn't found any solution at YOAST, I'd like to know if there's a way to achieve this in GP Premium.

Thanks for a hint and #stayathome!