There is only one source in Shia Islam that talks about Nowroz, and that source is Imam Jafar, but he doesn't talk about fire worshiping ritual, rather talks about a day of remembering GOD (even so, the narration is Mursal (so is weak and isn't accepted)):
Imam Sadeq (as): On the day of Nowruz do ghusl and put on your cleanest and purest clothing, use perfume and fast for the day. After praying the nawafil (extra recommended prayer) and dhuhr and asr prayers perform four raka’ts of prayer. In the first raka’t recite Surah Hamd once and Surah Al-Qadr ten times, in the second raka’t recite Surah Hamd once and Surah Al-Kaferun ten times, in the third raka’t recite Surah Hamd once and Surah Attawhid ten times and in the fourth raka’t recite Surah Hamd once and Surah Annas and Surah Al-falaq both ten times and after prayer go to sajdah and do shukr (thanks) to Allah and ask Him to forgive the sins of fifty years of your life.
There is another weak narration, also not accepted:
it has been narrated that Mansur Dawaneqi had sent a messenger to Imam Musa bin Ja’far (as) to ask him to be present in a ceremony and sit beside him while the people would bring gifts for the occasion of Nowruz. The Imam replied: I reviewed the ahadith of my forefather, the Messenger of Allah and didn’t find any hadith for this occasion, this is a Persian tradition that Islam has put an end to, and we seek refuge to Allah to revive something that has been diminished by Islam.
Source (Ibn Shahr ashub's book - Manaqeb)
There is no evidence to support the practice of Nowroz, those who try to find something end up with these two narrations, both weak in nature, both contradicting each other.
In the other hand, there are only two Eids in Islam, a Pagan ritual is not one of them.