Create cookie on login
You could just write the code yourself in a custom module. What you want is pretty simple.

/**
 * Implements hook_user_login().
 */
function HOOK_user_login(&amp;$edit, $account) {
  setcookie('user-is-logged-in', '1', 0, '/');
}

/**
 * Implements hook_user_logout().
 */
function HOOK_user_logout($account) {
  // Set cookie in the past and then remove it.
  setcookie('user-is-logged-in', '', REQUEST_TIME - 3600, '/');
  unset($_COOKIE['user-is-logged-in']);
}