Wordpress and custom menu using wp_page_menu

I'm using the following code to add custom taxonomies to my menu in wordpress. I need to make these "sub" items under Products.

Example right now they are showing up:

Photography > Lighting
Photography > Cameras

I need them to show up as

Products > Photography > Lighting
Products > Photography > Cameras

add_filter( 'wp_page_menu', 'custom_page_nav', 90 );
function custom_page_nav( $menu )
{
    $taxonomy = 'catalog';
    $orderby = 'name';
    $show_count = 0; // 1 for yes, 0 for no
    $pad_counts = 1; // 1 for yes, 0 for no
    $hierarchical = true; // 1 for yes, 0 for no
    $title = '';

    $args = array( 'taxonomy' => $taxonomy, 'orderby' => $orderby, 'show_c开发者_开发问答ount' => $show_count, 'pad_counts' => $pad_counts,
        'hierarchical' => $hierarchical, 'title_li' => false, 'echo' => false, 'empty' => true, 'hide_empty' => false,
        'depth' => 0 );
    $links .= wp_list_categories( $args );
    //  $links .= wp_list_categories( array( 'title_li' => false, 'echo' => false, 'empty' => true ) );
    $menu = str_replace( '', $links . '', $menu );
    return $menu;
}

function custom_page_nav( $menu ){
    $taxonomy = 'catalog';
    $orderby = 'name';
    $show_count = 0; // 1 for yes, 0 for no
    $pad_counts = 1; // 1 for yes, 0 for no
    $hierarchical = 1; // 1 for yes, 0 for no
    $title = '';

    $args = array( 'taxonomy' => $taxonomy, 'orderby' => $orderby, 'show_count' => $show_count, 'pad_counts' => $pad_counts,
        'hierarchical' => $hierarchical, 'title_li' => false, 'echo' => false, 'empty' => true, 'hide_empty' => true,
        'depth' => 0 );
    $links .= wp_list_categories( $args );
    //  $links .= wp_list_categories( array( 'title_li' => false, 'echo' => false, 'empty' => true ) );
    $menu = str_replace( '', 'Prodcuts '.$links . '', $menu ); 
    //
    return $menu;
}