At the moment Android 5.1 is only coming in stages to free models sold in France and Germany . Are treated the updates 212.44.26.ghost row.Retail.en.FR and 212.44.26.ghost row.Retail.en.DE . In the coming days and weeks the update will be coming to more countries. In Spain the update should not take more than two weeks to arrive.
With the jump to Android 4.4 Android 5.1 KitKat Lollipop Moto X users enjoy 2013 New Material Design interface, Smart Lock, notifications on the lock screen, pop-up notifications, do not disturb mode, guest and multiuser mode, new quick adjustments with flashlight, energy saving, and more news. Here you can see all the new features of Android 5.0 and Android 5.1.
Via | Forums Motorola