It's not permissions on the cache directory, it's likely a problem with how you set up the SimplePie directories or your include statement.
The file you are running is in D:\Hosting\12074013\html\test.php
and it's trying to include the autoloader.php
file, which the include
require_once(../php/autoloader.php)
thinks is in D:\Hosting\12074013\php
, which is below the web root. Check your install path and set the include to the correct directory path.