<?php
$bales = array(
    2 => array(
        array(
            'design' => 'D1',
            'color' => 'RED'
        ),
        array(
            'design' => 'D3',
            'color' => 'PINK'
        ),
        array(
            'design' => 'D1',
            'color' => 'BLUE'
        )
    ),
    1 => array(
        array(
            'design' => 'D2',
            'color' => 'BLUE'
        ),
        array(
            'design' => 'D1',
            'color' => 'WHITE'
        )
    )
);
ksort($bales);
foreach($bales as $baleNumber => &$rows){
    $design = array();
    $color = array();
    // Obtain a list of columns
    foreach ($rows as $key => $column) {
        $design[$key] = $column['design'];
        $color[$key] = $column['color'];
    }
    array_multisort($design, SORT_ASC, $color, SORT_ASC, $rows);
}
var_dump($bales);
?>