You may try this:
Cookie::queue($name, $value, $minutes);
This will queue the cookie to use it later and later it will be added with the response when response is ready to be sent. You may check the documentation on Laravel website.
Update (Retrieving A Cookie Value):
$value = Cookie::get('name');
Note: If you set a cookie in the current request then you'll be able to retrieve it on the next subsequent request.