CookieContainer - Replacement or better solution?

This problem I had for some time, maybe few months. Using CookieContainer sometimes doesn't work for me. For example, when I try to automatically log into some site which has authToken or something similar in their POST/GET request, it's always failing. So what I am asking today is, is there actually a better solution or replacement for CookieContainer?

Have a nice day,
Bozzy.