
In this talk I will present a study using cosmological data of the gravitational interaction in ordinary and dark matter sectors. In the first part I will present a new constraint of Newton's gravitational constant by making use of the latest CMB data from the Planck experiment and independent constraints coming from Big Bang Nucleosynthesis and low redshift experiments. In the second part of the talk I will focus on the dark matter sector, giving a constraint to the dark matter equivalence principle and long-range fifth forces.