Sorry if i worded it wrong but what im trying to say is for example in the fire punch page it shows the egg groups of the pokemon that learn it through breeding, but not for the pokemon that learns it through level up and for example i wanted a medichan that had fire punch, i would have to search every single one of the pokemon that learns it through level up to find a compatible breeding partner, and would be a lot faster and easier if they displayed the egg groups of the pokemon that learn it through level up
Actually, you can figure out how to get a move onto your Pokemon in another method by only using a couple of clicks.
For instance, say you wanted a Machamp with Fire Punch. All you'd have to do is click on "Machamp" to bring you to Machamp's pokedex page. Then scroll down to "Egg Moves." It says:
Machamp learns the following moves via breeding in Pokémon X/Y. Details and compatible parents can be found on the Machamp egg moves page.
Just click there and then you can find out exactly how to get it.
Good luck teambuilding! :)