The Masuda method involves breeding two Pokémon created in games of different languages. An Egg resulting from such a pairing will have a higher likelihood of being Shiny. ... In Generation IV, if the Masuda method is in effect, the Everstone will fail to increase the chance of passing on a Nature.
Lucky Eggs are consumable items that let the player's trainer earn double the amount of experience for all actions performed for a total of 30 minutes. They differ from the Eggs used to hatch Pokemon in Egg Incubators, though the two may be used in conjunction to farm XP (see below).