Reading a Hadeeth in the mosque
3-12-2007 | IslamWeb
Question:
Is reading a Hadeeth in the mosque Bid‘ah (religious innovation)? If not, what is the ruling on those who forbid it?
Answer:
All perfect praise be to Allaah, the Lord of the worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His slave and Messenger.
Sunnah refers to what was narrated on the authority of the Prophet, sallallaahu ‘alayhi wa sallam, including his words, actions, explicit approvals, and the description of his personal and physical features. Bid‘ah is the opposite of Sunnah and refers to anything not narrated on the authority of the Prophet, sallallaahu ‘alayhi wa sallam, despite the fact that saying it or doing was needed and there was nothing that prevented from saying or doing it. Bid‘ah also refers to any new way of doing something that seems in accordance with Sharee‘ah, yet it is, in fact, against it. Often Bid‘ah is an exaggerated way of worshipping Allaah.
Reading Hadeeth in the mosque is a well known Sunnah. This was narrated through various chains of narrators on the authority of the Prophet, sallallaahu ‘alayhi wa sallam. The Prophet, sallallaahu ‘alayhi wa sallam, used to talk with his Companions 
in the mosque and the Companions, the righteous Caliphs and the righteous scholars, such as Maalik ibn Anas 
did the same thing.
The mosque is the most respectable place for knowledge to be spread. If people do not learn the Quran and the Sunnah in the mosque, where else will they learn them?
Consequently the opinion you mentioned is utterly wrong. It is against the consensus of the Muslim scholars from the era of the Prophet, sallallaahu ‘alayhi wa sallam, until this day. Such an opinion from common Muslims is not to be taken into consideration, rather the person propagating this wrong opinion should be reproached and warned against describing the Sunnah as Bid‘ah.