The Eid Prayer (Salat al-Eid) consists of two Rak`ahs.
(Ayt Sistani method)
In the first Rak`ah, recite Surah of al-Fatihah and Surah Aaala ( or any other) After the recitation of these Surahs, say the takbir 'Allahu-akbar' - four times and raise the hands for the Qunut after each takbeer, saying as below ( or any other qunoot): then say the takbeer for fifth time after 4th qunoot and again for the sixth time before ruku , then do the ruku and sujud.
In the second Rak`ah, recite Surah of al-Fatihah and Surah 91 AsShams ( or any other)and then say the takbeer three times raising the hands for the Qunut after each takbeer After that, say the fourth takbeer after 3rd Qunoot & fifth takbeer before ruku and continue to complete the prayer.

Also See Notes below
Qunoot in Eid prayer ( 4 times in first rakat & 3 times in 2nd Rakat)