My work is focused on theoretical and numerical cosmology, in particular, the main objective of the thesis is to understand the nature of Dark Energy and Dark Matter, and the possible interactions of the Dark Sector. My research topics include large scale structure, cosmic microwave background, statistical analysis applied to cosmology, dark energy, dark matter and cosmological tensions among datasets. In my research, I try to show the main measurable effects of the different cosmological models under consideration and, then, find statistically if the models studied are preferred or not by current datasets.