did you look on this ste, where it says,"MK2?" they have the right fatalties there.They should work, maybe its just the website's mistake.

Yep,you can check MK2 fatalities right here.i have seen a couple of them and the button combinations and distances are alright,maybe you have to make the combination faster or you got the distances wrong.

To do fatalities in the 2d games you must be fast! ( especially in MK2)

Something I didn't realize at first is there are some where you have to finish an enemy with an attack that the fatality requires.

A good example is the Kitana kiss of death. To do it you have to hold down low kick and the best way to do that is to finish of the enemy with a low kick attack and hold down the button. Otherwise you risk hitting the enemy or not having enough time.

Some of them too you might want to hold down block while you do them. The game that requires this the most is definately MK4. Sub-Zero's spine rip is impossible without holding down block.

yeah, this website needs to update some of their sections very bad.
anyway, for the fatalitys to work, you MUST be in a distance.