Here is what I know on this other than to ignore it....
General consensus is it takes atleast 20 min of exercise before the body favors fat as the fuel source. Before this time, when exercise first commences, the large majority of fuel comes from stored carbohydrate.
Holding to this theory it would be logical to say that you burn more FAT doing a 50 min session all in one bang. However, nothing changes the amount of calories you are burning unless you are doing another warmup in the second session which would in turn bring down the overall intensity. Calories burned would be the same for the two 25 min sessions as the one 50 min. session....
But then again.....maybe breaking your cardio, especially if it is high intensity, into 25 min sessions instead of one whopping 50 min session, gives you that performance "edge" where you have the energy to jump higher and put more power into all your moves. In this case, you would be raising the intensity level which would burn more calories.
I would do two seperate, very high intensity 25 min. sessions if you tend to peter out after about 30 min. Energy starts sagging after that so I would think the shorter sessions would be of more benefit.
Of course, in my world, I do both!!! Then you don't have to worry about which one is "better". You have days in which you do both and therefore your body never really knows what to expect!!
That is my take....
Janice