What is the ruling and expiation for breaking the fast during a Ramadan day due to masturbation with the hand and ejaculation without penetration with a non-mahram person, followed by penetration for a few seconds after ejaculation, coupled with ignorance of the ruling, remorse, and repentance?

What you did is very ugly, especially since you are married and it is Ramadan. The offense is compounded if you were with a mahram. If penetration occurred, then ghusl and the hadd punishment are obligatory, the fast is invalidated, and expiation is due, even if the penetration was slight. "The rulings related to intercourse are tied to the insertion of the glans." Expiation is not waived due to ignorance except for someone who grew up in a land where ignorance prevails. The majority of jurists are of the opinion that expiation is obligatory for the consenting woman, and this is what we issue fatwas on. Therefore, you are obligated to make up the fast (qada') and perform the severe expiation (kaffarah mughalladhah).