It's not a problem on your end, but it's Volvo like usual.
07.01.2016 05:23:22 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:22 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:23:27 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:27 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:23:32 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:32 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:23:38 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:38 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:23:43 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:43 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:23:48 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:48 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:23:53 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:53 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:23:58 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:23:58 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:03 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:03 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:08 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:08 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:13 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:13 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:18 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:18 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:23 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:23 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:28 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:28 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:33 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:33 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:38 [*] INFO: OnDisconnected() <1> Disconnected from Steam!
07.01.2016 05:24:38 [*] INFO: OnDisconnected() <1> Reconnecting...
07.01.2016 05:24:38 [*] INFO: OnConnected() <1> Connected to Steam!
07.01.2016 05:24:39 [*] INFO: OnLoggedOn() <1> Successfully logged on!
07.01.2016 05:24:39 [*] INFO: Init() <1> Logging in to ISteamUserAuth...
07.01.2016 05:24:41 [*] INFO: Init() <1> Success!
Bot connected after many failed attempts, I'd suggest just to wait patiently. If it's intended, SK2 guys should release a new version sooner or later and ASF will follow with an update fixing that issue. If it's temporary and accidental, Valve should fix it sooner or later.
Nothing to be done from my side.
And it's not ASF-specific issue, everything that is based on SK2 gets similar problems - https://www.reddit.com/r/SteamBot/comments/3zsht8/steambots_taking_forever_to_log_in/
I'm leaving issue open, so other people can see.