Maybe you should give us a clue as to which type you are talking about?
Max Con checks can fail for a wide variety of reasons, eg incorrect FCU limit stop, TOT limit reached before specified power reached (dirty or damaged engine), fuel flow restriction (eg carbon deposits inside delivery pipes in hot part of engine due to inadequate purging on shutdown). It is however hard to think of an engine/transmission malfunction that would cause the other effects you mention - apart from ShyTorque's hypothesis of course
HC