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Your Feraligart has met location New Bark Town level 5, which means it wasn't hatched from an egg. That is why it can't have an egg move. For your Pokemon to have an egg move, it must have the appropriate met location for Pokemon from eggs or no met location at all (that will make it originate from silver/gold, games which do not store met location, so there is no way to differentiate egg pokemon from starter pokemon)