FeynGrav 3.0

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.