Yeah, I think I already know what the problem is for this bug but I don't know the solution to it. I did some security updates today which I think blocked out the server and now I can't connect to the authentication servers. So yeah, I think it's something to do with my anti-virus or firewall. I have tried disabling them both but nothing works.
https://gyazo.com/2bf01b6b3691103065678a66e2d1b64b
I have also tried re-installing both Minecraft and Technic Launcher.
Any solutions would be appreciated