No current MOND theories account for the state of our observations of the Cosmic Microwave Background, or the ratios of "things" left from nucleogenesis. The biggest gotcha for MOND is there's no way to reverse the direction of gravity, which would be needed to explain large scale structures without dark matter. (With dark matter, you see things moving toward where the matter is. Absent dark matter, you see things moving away from where matter is, because there is only ordinary matter.)

MOND theories are dark matter theories. They posit explanations for the observed behaivor, that behavior is dark matter.

AFAIK there are plenty of observations that can't be accounted for by any MOND theory either.