Must one make up for a fast broken upon hearing the Adhan while doubting the entry of the time, and is there any sin upon the one who informed them of the entry of the time in this situation?

The questioner is advised to ignore and disregard these whisperings (waswas), for his brothers are not required to make up any fasts as long as they broke their fast after being reasonably certain the sun had set and no evidence to the contrary became apparent.