Eid is not about finishing month of ramadan, its about joy on quran gifted in this month. Eid is nothing about about fasting month.
Eid-ul-Fitr: is commonly understood to be a festival related to the end of Ramadhan. Get liberated from fasting and enjoy as thanksgiving! Ironically, less than 5% Muslims practice Saum (Abstinence) during this entire month. But everyone talks about it and many wear a deceptive look. They view "fasting" as a means of self-purification, of feeling the hunger of the poor, or simply as an act of piety. They believe that the "Thawaab" (reward) of all good deeds and charity is increased manifold in this month. They think that Satan is imprisoned and Allah descends to the lower heaven to shower his Mercy.
Many Muslims calculate and give 2.5% of their wealth as Zakaat to the needy, recite the Qur’an profusely without understanding and try to "perform" much Namaaz. Zakaat, in fact, is due whenever we earn money ("the day of harvest" per Al-Qur’an 6:147) and whenever we have surplus (2:219).
On the Eid Day Namaaz, the "Imam" would recite 6 or 12 Takbirs, then Halwa Puri, new or flashy clothes, socialization, gift and card exchange; and that is the end of it. Any of these rituals present in the Qur’an? No! Do they bring about any change in us? - None whatsoever but a false sense of gratification. The Qur’an is a very pragmatic Book. It gives us the Purpose with each Command. Saum is the yearly training for Muslims to attain discipline and inculcate qualities in us so that we may establish Allah's Supremacy on earth (2:185). Think how 6 or 12 Takbirs make mockery of the Book of Allah!
What is Eid-ul-Fitr, then? [The Festival of Revelation of the Qur’an]
Younus, 10:57 O Mankind! There has now come to you Enlightenment from your Sustainer, and a healing for all that troubles your hearts, and guidance, and grace to all who embrace it.
10:58 Say, “In this bounty of God and in His grace – in this, then, let them rejoice. It is better than all the treasures that they may amass.”
Eid Names and occasions
In the Light of the Quran, the names should be EID-IL-QURAN and EID-IL-HAJJ respectively.
The Quran was revealed in the month of Ramadhan and Allah enjoins upon us to celebrate the occasion, so EID-IL-QURAN.
10:57 O Mankind! There has now come to you Enlightenment from your Sustainer, and a healing for all that troubles your hearts, and guidance, and grace to all who embrace it.
10:58 Say, “In this bounty of God and in His grace – in this, then, let them rejoice. It is better than all the treasures that they may amass.” [43:32]
The second festival is celebrated on the next day of Hajj, hence, EID-IL-HAJJ.
22:36 And the camels! We have appointed them among the symbols (of obedience) to God; in them is much good for you. (They carry you and your loads and then help you host one another.) So, dedicate them to God’s Name when they are drawn up in lines (for slaughter during Hajj). And after they have fallen to the ground lifeless, partake from their flesh, and feed the contented poor who do not beg as well as the poor who ask. Remember that God has subjected these animals to you so that you may be grateful.
22:37 Neither their meat nor their blood reaches God. What reaches Him is your sincere devotion. He has thus subjected them to you that you manifestly establish the greatness of God in the land for everyone to behold (the objective of Hajj). And to see how magnificent the guidance is that He has bestowed upon you. And (O Prophet) give glad news to all benefactors of humanity. [2:185]
Ref: Our Beacon.