Hey as per my idea yes University of Calcutta is recognised by NAAC and here I am giving you its details

Recognition
The University of Calcutta is the oldest of the modern universities in India and accredited as five star status by NAAC. It is a state government administered affiliating and Research University that has been recognized as a centre of excellence by the UGC.

Faculties of University of Calcutta -
Agriculture
Arts
Commerce, Social Welfare & Business Management
Education, Journalism and Library Science
Engineering & Technology
Fine Arts, Music and Home Science
Law
Science


University of Calcutta NAAC





Address:
University of Calcutta
Senate House,
87/1,
College Street,
Kolkata,
West Bengal 700073
Phone: 033 2241 0071