As Rustom mentioned, the plugin isn’t checking if this Multisite is activated – you can add a check in for multisite, add the below in the plugin registration file, just below the existing active check functions.
if(!function_exists('is_plugin_active_for_network')){
require_once(ABSPATH .'/wp-admin/includes/plugin.php');
if(is_multisite() &&
is_plugin_active_for_network('woocommerce/woocommerce.php')){//check if multisite and check
/** add in the functions from inside the current active check. **/
}
}