

On Evolve - Select an enemy follower on the field and deal it 2 damage. If there are at least 10 Umamusume cards in your cemetery, deal 4 damage instead.
Twice on each of your turns, when an enemy follower that took damage this turn from an Umamusume card you control is put from the field into the cemetery, draw a card, then discard a card.
QIf I deal 2 damage to an enemy follower with this follower's On Evolve ability, then play Skewer to make my opponent bury that follower, does this follower's "when an enemy follower that took damage this turn from an Umamusume card you control is put from the field into the cemetery" ability trigger?
AYes, it does.