What he's refering to is the power that Carlisle's family has,in particular Alice and Bella's powers.I am sure he would also want Renesmee's power too.He covets power and wants the most powerful वैंपायर to serve him as members of the Volturi.He would also want Benjamin's power,Kate's and Zafrina's and whoever else's power he feels would be beneficial to him, because that's what he wants.[This is from pg.532 of Breaking Dawn,book 3,Bella:Even in the short time I'd known Aro,I'd been able to see that he was a collector-and his most prized treasures were his living pieces.He coveted beauty,talent and rarity in his immortal followers और than any jewel locked in his vaults.It was unfortunate enough that he'd begun to covet Alice's and Edward's abilities.I would give him no और reason to be jealous of Carlisle's family].
