WooCommerce - Create a product categories dropdown list in a shortcode

gistfile1.php

<?php

/**
 * WooCommerce Extra Feature
 * --------------------------
 *
 * Register a shortcode that creates a product categories dropdown list
 *
 * Use: [product_categories_dropdown orderby="title" count="0" hierarchical="0"]
 *
 */
add_shortcode( 'product_categories_dropdown', 'woo_product_categories_dropdown' );

function woo_product_categories_dropdown( $atts ) {

  extract(shortcode_atts(array(
    'count'         => '0',
    'hierarchical'  => '0',
    'orderby' 	    => ''
    ), $atts));
	
	ob_start();
	
	$c = $count;
	$h = $hierarchical;
	$o = ( isset( $orderby ) && $orderby != '' ) ? $orderby : 'order';
		
	// Stuck with this until a fix for http://core.trac.wordpress.org/ticket/13258
	woocommerce_product_dropdown_categories( $c, $h, 0, $o );

	?>
	<script type='text/javascript'>
	/* <![CDATA[ */
		var product_cat_dropdown = document.getElementById("dropdown_product_cat");
		function onProductCatChange() {
			if ( product_cat_dropdown.options[product_cat_dropdown.selectedIndex].value !=='' ) {
				location.href = "<?php echo home_url(); ?>/?product_cat="+product_cat_dropdown.options[product_cat_dropdown.selectedIndex].value;
			}
		}
		product_cat_dropdown.onchange = onProductCatChange;
	/* ]]> */
	</script>
	<?php
	
	return ob_get_clean();
	
}

Remove the <?php at the top of this piece of code when you paste it into your functions.php page.
Happy Coding!

Hi, I added this code to my child theme and also added some extra CSS to only show this on my mobile views - works great for that.

Just two questions, what do I need to change in the code to rather the categories order not go by title but sort it by the category order I've set on the admin side?

And secondly, how do I remove the number of items showing in the brackets after each category name e.g. Category (3) ?

Thank you in advance.

Regards,
Jhorene