yes, using session variables is a better method.
On the results page, open the bindings panel. Click the plus button and select Form data. In the form data dialog, select the search page. This will add dynamic data bindings for the search form on the results page.
Now open the server behaviors panel, and select WA Cookies Toolkit -> Set Session Value.
Set the trigger to any form post, click the lightning bolt next to value and select one of the form elements from the search form. set the name to the same name as the form element.
Repeat that step for each form element.
yoou can then add the session bindings to the results page to display the search terms.