University of Mumbai [MU]

No, schooling is fine but make sure you do graduation and post graduation in regular course. You should be able to justify your position as long as you can do that no issue. Major companies can accept schooling from open school. Don't lose heart nothing is lost!
Many universities accept NIOS student:
DU, GGSIPU, Bharati vidyapeeth
Here you are looking for list of colleges that are Accepting NIOS Certificate, as you want here I am providing you. The Association of Indian Universities has granted equivalence to NIOS courses with those of other recognised Boards for the purpose of admission to higher courses of study at Indian Universities. List of Universities Accepting/ Recognizing NIOS Certificate
ANDHRA PRADESH
Nagarjuna University, Guntur
Sri Sathya Sai Institute ofHigher Learning (Deemed University), Prasanthinilayam-515 134, Distt. Anantpur
Andhra University, Waltair
Kakatiya University, Vidyaranyapuri, Warangal
Osmania University, Hyderabad
Sri Venkateswara University, Tirupati
Sri KrishnadevarayaUniversity, Anantpur
Kakatiya University, Warangal
ARUNACHAL PRADESH
Arunachal University, Domukh, Itanagar
ASSAM
Gauhati University, GopinathBordoloi Nagar, Guwahati
Assam AgriculturalUniversity, Jorhat-13. BIHAR
Patna University Patna
CHHATISGARH
Guru Ghasidas University, Bilaspur
DELHI
Indira Gandhi National OpenUniversity (IGNOU), Maidan Garhi, New Delhi- 110068
University of Delhi, Delhi-110007
School of Planning and Architecture, 4 Block-B, Indraprastha Estate, Delhi
Jamia Hamdard, (HamdardUniversity) Hamdard Nagar, New Delhi
National Museum Institute ofHistory of Art, Conservation and Museology (Deemed University), New Delhi. Jawaharlal Nehru University, New Delhi 110016
Jamia Millia Islamia, Jamnagar, New Delhi 110025
GOA University, TelegaoPlateau, P. O. Banbolin Complex
GUJARAT
Saurashtra University Campus, Kalavad Road, Rajkot 110007
North Gujarat University, Rajmahal Road, P. B. No. 21, Patna-384265 (N. G. )
Bhav Nagar University, Bhavnagar
Sardar Patel University, Vallabh Vidhya NagarGujarat University, Ahmedabad
HARYANA AgriculturalUniversity, Hisar
Kurukshetra University, Kurukshetra
HIMACHAL PRADESH
Himachal Pradesh University, Shimla
JAMMU & KASHMIR
University of Jammu, NewCampus, Bahu Wali Rakh, Jammu-180004
Sphere-e-Kashmir University agricultural Sciences and Technology, Srinagar
The university of Kashmir, Sri Nagar, Kashmir-190006
JHARKHAND
Indian School of Mines (Deemed University), Dhanbad 826004
Ranchi University.