Function/Class to list categories with checkboxes

I want a list like in the pictue; witch is here - Posts->New->Select Categories

At the moment i have this

echo '<select name="pn-cats[]" size="8" style="width: 100%" multiple>';
$args = array(
    'type'                     => 'post',
'child_of'                 => 0,
'parent'                   => '',
'orderby'                  => 'name',
'order'                    => 'ASC',
'hide_empty'               => 0,
'hierarchical'             => 1,
'exclude'                  => '',
'include'                  => '',
'number'                   => '',
'taxonomy'                 => 'category',
'pad_counts'               => false 
); 
$categories = get_categories( $args ); 
foreach ($categories as $category) {
    $option = '<option value="'.$category->cat_name.'">';
    $option .= $category->cat_name;
    $option .= ' ('.$category->count.')';
    $option .= '</option>';
    echo $option;
}
echo '</select>';

But i dont like my solution because the categories are not sorted like parent->child in the picture. I need a multi-selectable list.

Do you know any solution? wp_category_checklist don´t work because i need this list in a public page and not in the admin area.