To make the categories in the left area appear in the same order as the categories from the products dropdown list in PowerStore 3 you just need to update the main template.
Go into Templates > Main.dwt.php. In this file on line 269 you should have this code:
php:
$query_SubCategoryList = "SELECT * FROM ps3_categories WHERE CategoryParent = ".$StartWith . " ORDER BY CategoryName";
Update this line of code so that it is ordered by the CategoryID like this:
php:
$query_SubCategoryList = "SELECT * FROM ps3_categories WHERE CategoryParent = ".$StartWith . " ORDER BY CategoryID";
As for using single quotes and apostrophes in the names you can do this by using the entity version of this character like this:
use this for double quote:
php:
"
use this for single quote
php:
‘
