Announced on July 2015, this is Motorola's flagship phone. It has a 21 mega pixel camera with a 5.7 inch IPS TFT LCD screen with a resolution of 1440 x 2560 making it Quad HD. Model number XT1570, XT1579, XT1575 and XT1578.
If the scratches are not that deep, you can try to buff it out. If that does not work, then you should replace the back plate. If you need help replacing it, you can refer to the troubleshooting page: Moto X Pure Edition Troubleshooting