As it has already known, jailbreak iOS 8.1.3 using TaiG is impossible at present time. Apple company has blocked the TaiG jailbreak team with the launch of its latest iOS update, according to security documents.
All users who have already updated their iOS devices to the latest version are waiting for the next jailbreak. But according to above mentioned information it is not possible for current time. We should wait for a while till some of jailbreak team will do the magic and develop new jailbreak for iPhone, iPad and iPod touch.
A total of four exploits have been closed and credited to the TaiG Jailbreak Team. If you still plan to jailbreak your iOS device, then the iOS 8.1.2 signing window is still open. You have a very limited time to restore your favourite device to the iOS 8.1.2 version and jailbreak it. As jailbreak iOS 8.1.3 using TaiG is not unfortunately possible at present time. First was Pangu8 after them TaiG group,then PP jailbreak. Who will be the next to develop jailbreak for Apple's latest update?