We summarize the famous tensions between various observational datasets and theoretical predictions of the Standard Model of Cosmology, such as the $H_0$ and $S_8$ tensions, that could be a sign that we are approaching New Physics. Then we provide possible solutions, arising from modifications /extensions of the standard lore, focusing on (late-time) modified gravity solutions, and in particular on geometric theories such as torsional and non-metricity gravities.