is there a such bone called the facata bone in the back?

Answer 1

I Googled "facata bone" and several foreign language websites appeared, so there's a good chance there is also an english equivalent name for it !?

Answer 2

I could not find any evidence of that however there are facet joints in the spine. Could this be what you are looking for?
Facet joints link the bones of the spine together in the posterior or back part of the spine. Two facet joints are present at each spinal segment. They are named for the spinal bones that they connect. For example, in the neck or cervical spine the facet joints between cervical #5 and cervical #6 are called C56. Likewise, in the lower back the facet joints between lumbar #5 and the sacrum are called L5 S1. Because there are two joints per level, there is a right and left joint.

Answer 3

A what? Did you Google it? I've never heard of such a thing.