If you've still GOT the cardamom, Niloufer Ichapouria King's wonderful book "My Bombay Kitchen," which is fascinating about her foodways as a Parsi, has a recipe for cardamom cake, which is hugely beloved and available lots of places online, e.g.,:
http://coorgrecipes.com/cardamom-cake/

It's the same kind of flattish, grainy cake with a flavoring syrup.