There is no such thing as "The Transitional Program by Leon Trotsky". He never wrote and never would have written anything by that name. There is a reason why he never would have written anything by that name: A program is an approach to a real-life state of affairs. Unless you think that nothing ever changes in the world, how can there be "the" program that is good for all times and all places?
What "The Death Agony of Capitalism" does do is bring a certain method - the transitional method. Those who insist on branding "The Death Agony of Capitalism" as "The" Transitional Program adopt the demands while they kill the method.