For a long time, I was sceptical about the evidence for dark matter. To me, it seemed like a pretty big leap to make when we have no idea whether or not our current models of gravity should apply exactly to cosmological objects of massive scales like galaxies. Just like Einstein’s relativity replaces Newton's laws, wouldn't MOND be a better explanation for the discrepancies of galactic rotations than some "dark matter" that we have no evidence of?
Apparently though, its effect on galactic rotation is not the only evidence of dark matter, we can also see the effect of dark matter on the gravitational lensing of galaxies. That seems a lot harder to explain using modified theories of gravity than the rotational problem.
Do any of the modified theories of gravity address this evidence for dark matter, or just the galactic rotation problem?