I think Asura has the AP advantage here, since he is >>Creator Chakravartin, who one shot (With a finger) a Asura that basically one shot Golden Chak, who was sucking the entire galaxy into himself, while Broly is much stronger than his other 4-A form.
Asura has better regen than Broly, which gives him a advantage in melee. Asura also seems to use his range more. There's also the fact that he has much more experience than Broly.
Asura just has more going for him in general. Also given how Broly was beaten by Non-Canon Z-Fighters (not embarassing, just the fact that he lost) meanwhile Asura at peak was almost literally unstoppable.