Adding a date archive to Custom Post Type

I believe this should handle it for you. Including monthly and daily. It also catches if you have defined a different rewrite slug than your custom post type slug.

/* This function handles setting up Date archive rewrite rules for
 * ANY custom post type - You pass the CPT, and it will use the
 * re-written slug if applicable.
 */
function eh_generate_date_archives( $cpt ) {
    global $wp_rewrite;
    $rules = array();
    $post_type = get_post_type_object( $cpt );
    $slug_archive = $post_type->has_archive;
    if ( $slug_archive === false ) return $rules;
    if ( $slug_archive === true ) {
        $slug_archive = $post_type->rewrite['slug'] ? $post_type->rewrite['slug'] : $post_type->name;
    }
    $dates = array(
        array(
            'rule' => "([0-9]{4})/([0-9]{1,2})/([0-9]{1,2})",
            'vars' => array( 'year', 'monthnum', 'day' )
        ),
        array(
            'rule' => "([0-9]{4})/([0-9]{1,2})",
            'vars' => array( 'year', 'monthnum' )
        ),
        array(
            'rule' => "([0-9]{4})",
            'vars' => array( 'year' )
        )
      );
    foreach ($dates as $data) {
        $query = 'index.php?post_type=".$cpt;
        $rule = $slug_archive."https://wordpress.stackexchange.com/".$data['rule'];

        $i = 1;
        foreach ( $data['vars'] as $var ) {
            $query.= '&'.$var.'='.$wp_rewrite->preg_index($i);
            $i++;
        }
        $rules[$rule."/?$"] = $query;
        $rules[$rule."/feed/(feed|rdf|rss|rss2|atom)/?$"] = $query."&feed=".$wp_rewrite->preg_index($i);
        $rules[$rule."/(feed|rdf|rss|rss2|atom)/?$"] = $query."&feed=".$wp_rewrite->preg_index($i);
        $rules[$rule."/page/([0-9]{1,})/?$"] = $query."&paged=".$wp_rewrite->preg_index($i);
    }
    return $rules;
}