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The field equations in modified gravity theories possess an importantdecoupling property with respect to certain classes of nonholonomic frames.This allows us to construct generic off--diagonal solutions depending on allspacetime coordinates via generating and integration functions containing(un--)broken symmetry parameters. Some corresponding analogous models have anice ultraviolet behavior and seem to be (super) renormalizable in a sense ofcovariant modifications of Ho\v{r}ava--Lifshits (HL) and ghost free gravity.The apparent noncommutativity and breaking of Lorentz invariance by quantumeffects can be encoded into geometric objects and basic equations onnoncommutative tangent Lorentz. The constructions can be extended to includeconjectured covariant reonormalizable models with effective Einstein fieldswith (non)commutative variables.

Covariant Renormalizable Gravity Theories on (Non) Commutative Tangent Bundles