Kuvempu University is a public state university in Shimoga, Karnataka, India. It was established in 1987 by the act of the Karnataka state legislature through amendment No. 28/1976 dated 29 January 1989 under the Karnataka State University Act 1976. It is located at Shimoga, Karnataka. I have checked and found that the correspondence degrees of this university are recognised.
On the other hand, IGNOU is a Central University with regional centreas at all state capitals of India. It's degrees are well-recognised not only in India, but also outside India.
I don't know where do you reside. If you reside in such a place where there is a study centre of IGNOU, I will advise you to pursue your education from IGNOU. The study materials of IGNOU are of very high standard and the examinations are held regularly.
If you live in such a place, where there is no study centre of IGNOU but there is a study centre of Kuvempu University, you can take admission in B.Com through correspondence from Kuvempu University.
Beware! I question everything and everybody.