Mmmmm ...
Not quite sure what you mean by 'cycle' ...BUT .... engines should be stable (within reason) during pwr changes at all times ....
Need to know a bit about the TSN/TSOH of the engines and AFCU/Gov components to really try to diagnose this .... BUT... it may be that the fault is actually with the No.2 engine AFCU/Gov as it may be the 'slow' (sticky) operator which is making the No1 do all the work .... need to see what is happening with the Nr while all this is going on ....
One method to determine which engine is operating correctly is to set (say) Eng No1 into MANUAL Gov and set it @20% Tq lower than No2 and see if with (gentle) pwr changes the other engine responds normally then vice versa etc.
If you are operating in a very dusty envoironment get your engineers to look at the TCU bleeds for blockages etc ...
Cheers ... Good luck
