  We present the new version of the FeynGrav. The package provides tools to
operate with Feynman rules for quantum gravity within FeynCalc. The latest
version improves package efficiency and implements new physical models. We
discover recurrent relations between metric factors that enhance computational
efficiency. We discuss gravitational interaction with Horndeski gravity,
quadratic gravity, and the simplest axion-like coupling. We implemented the
massive graviton propagator and discussed the possibility of implementing
massive gravity within the package.
