Here's how you can downgrade iTunes 12.1 to 12.0.1 on Windows, Mac and fix issues with TaiG jailbreak not working and iOS 8.1.2 restores. For more details and complete step-by-step guide, head past the jump.
Apple has just released iTunes 12.1 for OS X Yosemite which includes a Notification Center widget for controlling all your music playback on the fly. More details on the update and where to get it from can be found right here.