Raindrops template shows category name and post links

test.php

<?php
/*
 * Template Name: test
 */

get_header('html5');
?><div style="margin:5%;-moz-columns: 15em auto;-webkit-columns:15em auto;-o-columns: 15em auto;-ms-columns: 15em auto;">
<?php
$categories = get_all_category_ids();

$output = '';

if($categories){
	foreach($categories as $cat_id) {
		 $cat_name = get_cat_name($cat_id);
		echo '<h2>'.$cat_name.'</h2>';
		echo do_shortcode('[catlist name='.$cat_name.']');
	}
}
?></div>
<?php
get_footer();
?>

[catlist name='.$cat_id.'] is wrong
[catlist name='.$cat_name.'] correct