Is it correct to understand that the expiation for making up for Ramadan fasts that are overdue by more than a year is 750 grams of rice for each day, and that it should be given to one needy person without specifying the day? And is there a connection between making up the fasts (qada') and the expiation (kaffarah) such that they must be performed together, or can they be separated? And should the needy person be informed that this is an expiation for fasting?

What I understand, that the expiation for delaying missed fasts does not multiply with the number of years, and that its amount is one mudd of food (750 grams of rice) for each day, and that a single expiation is given to one needy person, and that the intention to make up the fast suffices without specifying the day or year, is a correct understanding. It is not a condition to link making up the fast with the expiation; it is permissible to give the food before making up the fast, or after it, or concurrently with it, and it is better to hasten to do so. It is not obligatory to inform the needy person that what is given to him is expiation for fasting.