This is an attempt at creating a woocommerce product category shortcode for the Neighborhood theme

functions

<?php 
function my_cats( $atts ) {
                global $woocommerce_loop;
 				global $my_cats;
                extract( shortcode_atts( array (
						'ids'     => '',
                        'orderby'    => 'name',
                        'order'      => 'DESC',
                        'columns'        => '4',
                        'hide_empty' => 1,
                        'parent'     => ''
                        ), $atts ) );
 
                if ( isset( $atts[ 'ids' ] ) ) {
                        $ids = explode( ',', $atts[ 'ids' ] );
                        $ids = array_map( 'trim', $ids );
                } else {
                        $ids = array();
                }
 
                $hide_empty = ( $hide_empty == true || $hide_empty == 1 ) ? 1 : 0;
 
                // get terms and workaround WP bug with parents/pad counts
                $args = array(
                        'orderby'    => $orderby,
                        'order'      => $order,
                        'hide_empty' => $hide_empty,
                        'include'    => $ids,
                        'pad_counts' => true,
                        'child_of'   => $parent
                );

				#var_dump ($args); 
                $my_cats = get_terms( 'product_cat', $args );
 
                if ( $parent !== "" )
                        $my_cats = wp_list_filter( $my_cats, array( 'parent' => $parent ) );
 
                if ( $number )
                        $my_cats = array_slice( $my_cats, 0, $number );
 
                $woocommerce_loop['columns'] = $columns;
 
                ob_start();
 
                // Reset loop/columns globals when starting a new loop
                $woocommerce_loop['loop'] = $woocommerce_loop['column'] = '';
 
                if ( $my_cats ) {
 
                        woocommerce_product_loop_start();
 
                        foreach ( $my_cats as $category ) {
 
                                woocommerce_get_template( 'product-output.php', array(
                                        'category' => $category
                                ) );
 
                        }
 
                        woocommerce_product_loop_end();
 
                }
 
                woocommerce_reset_loop();
 
                 return '<div class="row"> <div class="product_list_widget products-mini woocommerce spb_content_element span12"><div class="spb_wrapper"><h4 class="spb_heading"><span>Featured Categories</span></h4>
				 
				 <div class="product-carousel" data-columns="6"><div class="carousel-overflow">
' . ob_get_clean() . '</div><a href="#" class="prev"><i class="icon-chevron-left"></i></a><a href="#" class="next"><i class="icon-chevron-right"></i></a></div></div></div></div>';
        }
		
		add_shortcode( 'mycats', 'my_cats' );

?>