It is wajib to keep sixty continuous fasts in a way that the month of Ramadan and the days in which fasting is prohibited (i.e. Eid-ul-Fitr, Eid-ul-Azha and Ayyam al-Tashriq) do not fall in between. During your sixty days kaffarah fast, Eid-ul-Azha is approaching. In this case, it will be wajib for you after Eid-ul-Azha to keep fast continuously for two months’ (sixty days). You should have asked the ruling before starting the kaffarah fast. It is haram to keep fast on the day of Eid-ul-Azha and after it on 11th, 12th and 13th of Zul Hijjah. The detail is available in Fatawa Shami etc.
Allah (Subhana Wa Ta’ala) knows Best
Darul Uloom Deoband