  We review a set of the possible ways to constrain extended gravity models at
Galaxy clusters scales (the regime of dark energy explanations and comparison
with $\Lambda CDM$), for black hole shadows, gravitational wave astronomy,
binary pulsars, Solar system and Large Hadron Collider (consequences for high
energy physics at TeV scale). The key idea is that modern experimental and
observational precise data gives a chance to go beyond the general relativity.
