Array
(
    [0] => Array
        (
            [0] => Array
                (
                    [id] => 174
                    [title_folder] => Регистрация
                )

        )

    [1] => Array
        (
            [0] => Array
                (
                    [id] => 204
                    [title_folder] => Авто
                )

        )

    [2] => Array
        (
            [0] => Array
                (
                    [id] => 47
                    [title_folder] => Речки
                )

        )

    [3] => Array
        (
            [0] => Array
                (
                    [id] => 48
                    [title_folder] => Автодром
                )

        )
)

usort($array_folders_marking_abc_info, function($a, $b){
    return strcmp($a['0']['title_folder'] , $b['0']['title_folder']);
 });

usort($arr, function($a, $b) {
    if ($a['NAME'] == $b['NAME']) {
        return 0;
    }
    return ($a['NAME'] < $b['NAME']) ? -1 : 1;
});