I doubt that the description of the NSURLRequest
will provide the cookie information.
The domains are a match (cookie and the URL), so the cookie must be appended to the request. Execute the following code before firing the request to see which cookies are sent along with your request.
NSHTTPCookieStorage *cookieJar = [NSHTTPCookieStorage sharedHTTPCookieStorage];
for(NSHTTPCookie *cookie in [cookieJar cookiesForURL:url]) {
NSLog(@"Cookies attached: %@", cookie.description);
}