No, that's why you breed till you get a male offspring with the egg moves so the chain continues. The female passes down the species, but the male passes down the egg move as shown in the thing I copypasted. Perhaps you misread?
EDIT;; It would go like this
EDIT;; It would go like this
MALE FEEBAS: Learn Flail at level 30
Breed male FEEBAS with female LOTAD = male LOTAD with Flail
Breed male LOTAD with Flail with female PARAS = male PARAS with Flail
Breed male PARAS with Flail with female HERACROSS = male HERACROSS with Flail
male HERACROSS: Learn Counter at level 25
Breed male HERACROSS with female PARAS = Paras with Flail and Counter!