CMS Made Simple Forums

You cannot use a FormBuilder form to search a CTLMM module unless you do some programming - and that would be more complicated than modifying your module's search form.
As you can see in CTLMM faq, you can change the form layout through the search_NAMEOFLEVEL.tpl template (in the templates folder), and if you need deeper changes, you'll need to modify the action.search.php of your module.