Change
$page = shell_exec('/tmp/my_script.php $my_url $my_refer');
to
$page = shell_exec("/tmp/my_script.php $my_url $my_refer");
OR
$page = shell_exec('/tmp/my_script.php "'.$my_url.'" "'.$my_refer.'"');
Also make sure to use escapeshellarg
on both your values.
Example:
$my_url=escapeshellarg($my_url);
$my_refer=escapeshellarg($my_refer);