require get_parent_theme_file_path('/wp-advanced-search/wpas.php');

//functions.php

function my_search_form() {
    $args = array();
    // Set default WP_Query
    $args['wp_query'] = array('post_type' => array('page', 'post', 'param'),
        'orderby' => 'title',
        'order' => 'ASC');
    // Configure form fields
    $args['fields'][] = array('type' => 'search',
        'placeholder' => 'Enter search terms');
    $args['fields'][] = array('type' => 'post_type',
        'format' => 'checkbox',
        'label' => 'Search by post type',
        'default_all' => true,
        'values' => array('page' => 'Pages',
            'field' => 'Post',
            'param' => 'Parameters'));
    $args['fields'][] = array('type' => 'orderby',
        'format' => 'select',
        'label' => 'Order by',
        'values' => array('title' => 'Title',
            'date' => 'Date Added'));
    $args['fields'][] = array('type' => 'order',
        'format' => 'radio',
        'label' => 'Order',
        'values' => array('ASC' => 'ASC', 'DESC' => 'DESC'),
        'default' => 'ASC');
    $args['fields'][] = array('type' => 'posts_per_page',
        'format' => 'select',
        'label' => 'Results per page',
        'values' => array(2 => 2, 5 => 5, 10 => 10),
        'default' => 10);
    $args['fields'][] = array('type' => 'submit',
        'class' => 'button',
        'value' => 'Search');

    register_wpas_form('myform', $args);
}

add_action('init', 'my_search_form');

Creating a template

<?php /* Template Name: AJAX TMP This is an example of a template part which can be used to customize how search results appear when using AJAX. */ ?>
<?php get_header(); $search = new WP_Advanced_Search('myform'); ?>


<div class="row search-section">


<div id="sidebar" class="large-3 columns">
        <?php $search->the_form(); ?>
    </div>




<div class="search-results large-9 columns">
        <?php $temp = $wp_query; $wp_query = $search->query();
        ?>
        

<h4 class="results-count">
            Displaying <?php echo $search->results_range(); ?> 
            of <?php echo $wp_query->found_posts; ?> results
        </h4>


 
        <?php if (have_posts()) : while (have_posts()) : the_post(); ?>
                <?php $post_type = get_post_type_object($post->post_type); ?>
                

<article>
                    

<h4><a href="<?php the_permalink(); ?>"><?php the_title(); ?></a></h4>




<strong>Post Type:</strong> <?php echo $post_type->labels->singular_name; ?> &nbsp;&nbsp;                   
                        <strong>Date added:</strong> <?php the_time('F j, Y'); ?>


                    <?php the_excerpt(); ?>

                </article>



                <?php endwhile; else : echo ' Sorry, no results matched your search. '; endif; $search->pagination();

        $wp_query = $temp;
        wp_reset_query();
        ?>

    </div>


</div>


<?php get_footer(); ?>

Download Advanced Search Files

Ref: http://wpadvancedsearch.com/demos/demo-ajax-search/#results