On Magento, the preferred way would be to Use the Preserving your theme layout option. This will ensure all the details you have been displaying on the search results landing remains intact.
If you are not using the preserving your theme layout option and using Klevu’s theme or you are on a different platform, you can use the Klevu's rating attribute in the feed for the review system.
For example, with Trustpilot the customer can create a script to update the rating attribute using the Trustpilot API. Use the customerReviews attribute to provide any customer review text.