In this article a two-parameter model is developed for the universe. The two parameters are the age of the universe and the value of Einstein’s Cosmological Constant. It is shown that these are sufficient to calculate the amounts of matter and dark energy in the universe, as well as the contributions of dark matter and baryonic matter in the matter part. All this, not only for present time, but also as a function of cosmological time. Moreover, the model allows establishing the numerical value for Milgrom’s acceleration parameter for present time. The developed theory gives an adequate explanation for the phenomena of the accelerated scaling of the universe and the anomaly of the stellar rotation curves in galaxies. The numerical results are in agreement with those of the Lamda-CDM model.