I attended the 'Id (prayer) along with 'Umar. He offered prayer before the sermon. He then said: The Messenger of Allah ﷺ prohibited fasting on these two days. As regards Id al-Adha, you eat the meat of your sacrificial animals. As for 'Id al-Fitr, you break (i.e. end) your fast.  

شَهِدْتُ الْعِيدَ مَعَ عُمَرَ فَبَدَأَ بِالصَّلاَةِ قَبْلَ الْخُطْبَةِ ثُمَّ قَالَ إِنَّ رَسُولَ اللَّهِ ﷺ نَهَى عَنْ صِيَامِ هَذَيْنِ الْيَوْمَيْنِ أَمَّا يَوْمُ الأَضْحَى فَتَأْكُلُونَ مِنْ لَحْمِ نُسُكِكُمْ وَأَمَّا يَوْمُ الْفِطْرِ فَفِطْرُكُمْ مِنْ صِيَامِكُمْ  

“I was present for ‘Eid with ‘Umar bin Khattab. He started with the prayer before the sermon, and said: ‘The Messenger of Allah ﷺ forbade fasting on these two days, the Day of Fitr and the Day of Adha. As for the Day of Fitr, it is the day when you break your fast, and on the Day of Adha you eat the meat of your sacrifices.’” (Using translation from Ibn Mājah 1722)   

إِنَّ رَسُولَ اللهِ ﷺ «نَهَى عَنْ صِيَامِ هَذَيْنِ الْيَوْمَيْنِ أَمَّا يَوْمُ الْفِطْرِ فَيَوْمُ فِطْرِكُمْ مِنْ صِيَامِكُمْ وَأَمَّا يَوْمُ الْأَضْحَى فَيَوْمُ نُسُكِكُمْ»  

I was present at Eid with ‘Umar, and he started with the prayer before the khutbah. He said: The Messenger of Allah ﷺ forbade fasting on these two days. The day of al-Fitr is the day when you break your fast, and on the day of al-Adha, eat the meat of your sacrifices. (Using translation from Aḥmad 163)   

شَهِدْتُ الْعِيدَ مَعَ عُمَرَ ؓ فَبَدَأَ بِالصَّلَاةِ قَبْلَ الْخُطْبَةِ ثُمَّ قَالَ إِنَّ رَسُولَ اللهِ ﷺ نَهَى عَنْ صِيَامِ هَذَيْنِ الْيَوْمَيْنِ أَمَّا يَوْمُ الْأَضْحَى فَتَأْكُلُونَ مِنْ نُسُكِكُمْ وَأَمَّا يَوْمُ الْفِطْرِ فَفِطْرُكُمْ مِنْ صِيَامِكُمْ  

" (عن أبي عبيد قال: شهدت العيد مع عمر بن الخطاب، فبدأ بالصلاة قبل الخطبة فقال) (*): إن رسولَ الله ﷺ نهى عن صيامِ هذَين اليومينِ: يومِ الفطرِ ويومِ الأضحى، أما يومُ الفطرِ فيومُ فِطرِكم من صومِكم، وأما يوْمُ الأضحى فكُلوا فيه من لحمِ نَسُكِكم" .