The era of precision Cosmology is around the corner and it promises to shed light on some of the long-standing questions such as the nature of gravity on the large cosmological scales. However, current data can already tell us something!
In this talk I will discuss what we can learn about gravity from Large Scale Structure and Cosmic Microwave Background data, showing the outcome of a non-parametric reconstruction of gravity from currently available cosmological data sets. I will also discuss the imprints of cosmological tensions in the reconstructed theory and whether late time modifications of gravity can solve both the H_0 and S_8 tensions. I will also compare the non-parametric reconstruction with the best fit result for some simplified parametrizations that we often employ when fitting data, discussing their shortcomings.