You done it wrong half way dude.
I can tell that your Oracle of Seasons is the LINKED game yes? Well then, since the Zora you found in Hero's Cave gave you a password, your supposed to give it to King Zora in Oracle of Ages. When King Zora receives it, he'll give a specific item to you, I forgot what but it's either a sword or a satchel upgrade. Anywho, once he gives the item, talk to him again, and he'll say ANOTHER password. THIS password MUST be given to Farore in Oracle of Ages. And THEN you'll receive the item you got from Oracle of Ages in Seasons. It's Simple yes? If this is not enough, then I'll elaborate more if necessary. Also tell me more details so I can help you more.