If you need to show the description and the images in the search results like in this search availability demo.
Then the text in search results is getting from "Excerpt” section of post, where you have inserted the booking form
and the image - its "Favorite image" of this post.
In search result form at the Booking > Settings > Search page you will be need to use these shortcodes:
[booking_featured_image] - featured image, taken from the featured image associated with the post, [booking_info] - booking info, taken from the excerpt associated with the post
In case if you are using pages with booking forms and not the posts.
You need to install some other plugins, like "page-excerpt" plugin, which will add the excerpt section to the pages, as well.
The "Featured Image" by default is supporting in Pages, as well. But this functionality must support by your theme.
So please contact support of your theme, about adding ability to use "Featured Images" in your pages.