eZ\Publish\Core\REST\Server\Controller\ContentType::sortContentTypeList PHP Method

    protected function sortContentTypeList(array &$contentTypes, $orderby, $sort = 'asc')
    {
        switch ($orderby) {
            case 'name':
                if ($sort === 'asc' || $sort === null) {
                    usort($contentTypes, function (APIContentType $contentType1, APIContentType $contentType2) {
                        return strcasecmp($contentType1->identifier, $contentType2->identifier);
                    });
                } elseif ($sort === 'desc') {
                    usort($contentTypes, function (APIContentType $contentType1, APIContentType $contentType2) {
                        return strcasecmp($contentType1->identifier, $contentType2->identifier) * -1;
                    });
                } else {
                    throw new BadRequestException('wrong value for sort parameter');
                }
                break;
            case 'lastmodified':
                if ($sort === 'asc' || $sort === null) {
                    usort($contentTypes, function ($timeObj3, $timeObj4) {
                        $timeObj3 = strtotime($timeObj3->modificationDate->format('Y-m-d H:i:s'));
                        $timeObj4 = strtotime($timeObj4->modificationDate->format('Y-m-d H:i:s'));
                        return $timeObj3 > $timeObj4;
                    });
                } elseif ($sort === 'desc') {
                    usort($contentTypes, function ($timeObj3, $timeObj4) {
                        $timeObj3 = strtotime($timeObj3->modificationDate->format('Y-m-d H:i:s'));
                        $timeObj4 = strtotime($timeObj4->modificationDate->format('Y-m-d H:i:s'));
                        return $timeObj3 < $timeObj4;
                    });
                } else {
                    throw new BadRequestException('wrong value for sort parameter');
                }
                break;
            default:
                throw new BadRequestException('wrong value for orderby parameter');
                break;
        }
    }