There is a high status of Eid prayer in Islam. It is an obligatory prayer according to schoalrs, the messenger of Allah prophet Muhammad performed Eid prayer consistently  and also advised Muslims to go out for the prayer on Eid day.

Let the free women, the virgins, and the menstruating women go out to attend the `Eid prayer, and witness the good and the supplications of the believers. As for the menstruating women, they should stay away from the musallaa. (i.e., should not participate in the prayer itself).[1]

Shaykh ul-Islaam Ibn Taymiyyah (r) said:

“… Thus we lean towards the opinion that Salaat ul-`Eid is fard `Ayn (individual obligation) on each individual. This is the opinion of Abu Haneefah[2] and others, and is one of the two reported opinions of ash-Shaafi`ee and of the school of Ahmad.

The prophet of Allah performed it with the congregaton and kept doing it until he died.

  “The Prophet (saws) went out (of his house) on the day of Fitr, prayed two Rak`aat, and did not pray before or after it.”[8]

Number of Rak`aat in Eid Prayer

The `Eid prayer consists of two Rak`aat (full prayer units). `Umar (ra) reported:

“The travelers’ prayer is two Rak`aat; the Adha prayer is two Rak`aat; the Fitr prayer is two Rak`aat; and the Jumu`ah prayer is two Rak`aat; this is their full length as came upon the tongue of Muhammad (saws).”[26]

In the begining, the intentions of a Muslim performing it must be true. The heart of a Muslim must be filled with the devotion of Allah before the the prayer is started. The people would raise their voice with Takbeer when praying behind the imaam is not proved by any authentic report. It is not allowed  for anyone other than the imam.

bn ul-Qayyim (r) said:

“The Prophet (saws) used to remain silent between every two Takbeers, and nothing is reported from him regarding thikr between them.”[37]

Source: missionislam.com/knowledge/eidkhutbah.htm