On most applications (especially 121 applications), they WILL ask you "Have you ever failed a training event?" To which (in this case) the answer would be "Yes".
If you don't, you will be required to answer why you were with company X for only 2 months...
I always recommend being completely honest and having them reject you up front, rather than lying, being pulled out of class and having to explain to your next potential employer: "Terminated due to failure to truthfully disclose reasons for prior termination".