How authentic are the hadiths reported concerning the observance of the Night of Eid?

Most scholars are of the opinion that it is desirable to revive the nights of the two Eids (Eid al-Fitr and Eid al-Adha) by performing various acts of worship, such as dhikr (remembrance of Allah), reciting the Quran, prayer, and supplication. The Shafi'i school of thought unanimously agrees on this. As for the Hanafis, they hold that reviving these nights means performing the Isha and Fajr prayers in congregation. It is not recommended to revive them by praying in the mosque; rather, each person should do so in their own home for themselves. The hadith reported regarding the virtue of reviving these two nights is very weak.