Engine Breakdown:
Invoked: Omninegate, extra deck body on board for ecclesia, dark in GY for Bystials, link for maximus, triggers regained by banishing a light (Gardna), makes chaos space live by having a light cannot be normal summoned/set
Dogmatika: Extenders, non targeting quick eff monster negate, floodgate in winda, Maximus dump, draw 1, light level 4 to make chaos angel with a Bystial
Bystial: Extenders, big bodies, quick eff pop, non destruction removal, draw 1, follow up, mini floodgate (etude), access to levianeer, dark level 6 to make chaos angel with an ecclesia/cartesia
Non-Engine: While technically not engine by name, these cards help the deck pop off and have endless follow up seamlessly.
Magicians souls gets up to 3 darks in GY single handedly and can turn extra s/t to 2 new cards, which this deck has 5 s/t cards that stay on field, 3 of which can be recycled from GY. Can search Lubellion with chaps space. Also, free body.
Fusion deployment summons cartesia, which Makes aleister dodge veiler and imperm. Good normal summon if necessary. Gets an extra deck body on board and GY. Can make Chaos angel or lulluwallith.
End board varies heavily but you normally want mechaba, fleur in hand, schism set, Branded beast/regained up, plus 3-4 cards in hand. You also draw 1-3 times a turn. Etude with druiswurm is deadly. Lulluwallith is a free negate. Deck is nice.