The functionality of Magento 1.x Varien_Io_File
has been moved to \Magento\Framework\Filesystem\Io\File
class in Magento 2.
So, for example, to delete folder recursive use
\Magento\Framework\Filesystem\Io\File::rmdirRecursive($path);
insead of
Varien_Io_File::rmdirRecursive($path);