Breaking the fast in Ramadan intentionally: Does one have to make it up, and is one’s repentance accepted?

Question:
May Allah reward you with good and do you good. Following this, a message reached the program from Algeria, sent by the listener Abd al-Karim Boudemikh. Brother Abd al-Karim asks a collection of questions, in one of which he says: I previously ate on two days of Ramadan intentionally, and this was a long time ago, when I did not know the rights of Allah upon you; there was no prayer, no remembrance, and I barely knew anything about Islam. Today, praise be to Allah, I declared my repentance before Allah, and I regret what has passed and am distressed about it. So what is your statement, may Allah preserve you, regarding those two days? May Allah reward you with good.

Answer:
Praise be to Allah who has granted you repentance and a return to the truth, and we ask Him, Glorified and Exalted is He, to keep us and you and all Muslims firm upon the truth. As for the two days on which you broke your fast, it is obligatory for you to make them up. So make them up and feed one poor person for each of those two days for having delayed them until that time. We ask Allah for acceptance and forgiveness for us and for you. Oh Allah. Yes.