Sayyiduna Samurah bin Jundub (may Allah be pleased with him) says that on the two Eids the Messenger of Allah (peace and blessings be upon him) used to recite "Glorify the name of your Lord, the Most High" [Surah al-A'la: 1] and "Has there come to you the report of the Overwhelming Event?" [Surah al-Ghashiyah: 1].
The Shaykh said: There is no contradiction between this and the hadith of Abu Waqid; rather, this one reports a recitation that took place on one Eid, and that one reports a recitation that took place on another Eid. There were several Eids in the time of the Prophet (peace and blessings be upon him), so this narrator is truthful that he recited what is mentioned here on an Eid, and the other is truthful that he recited what he mentioned on an Eid. Al-Shafi'i (may Allah have mercy on him) said this in the narration of Harmalah.
Hadith Referenceالسنن الكبرى للبيهقي / كتاب صلاة العيدين / 6194