The general theory of relativity (GTR) has been successful in describing some aspects of Cosmology. Notwithstanding this, some problems remain with gravity, and dark energy is not explained and quantum gravity is difficult to formulate. Here we reconstruct the equations used in GTR. This gives a previously published dynamic form of Newtonian advanced gravity termed DNAg, which is able to explain the presence of dark energy and can be translated into quantum gravity. Moreover, it has already been corroborated in neutron stars, including data from gravitational radiation damping and is corroborated by black hole studies. Importantly, it offers readily testable predictions for both cosmological dark energy and black hole physics.