That sounds positive to start with.Thank you for your email. ICES will assess degrees from Manav Bharti University provided that they were awarded from 2012 onwards. However, please be advised that the resulting assessment may or may not be favorable. The outcome of the assessment will depend on a variety of factors including (but not limited to): University Grants Commission, All India Council of Technical Education, Distance Education Council/Bureau recognition; mode of study (distance or on-campus); degree nomenclature; the specific program completed; and the timeframe in which the credential was completed. You would be required to formally apply and pay for the service if you wish to have your credential reviewed.
But i have completed by degree in 2013, and joined college in 2010., and my university is listed in UGC too.,
What's important is Manav Bharati should have had UGC and AICTE recognition for the academic years when you studied there. Not recognition for the recent/current years.
I suggest you go through the Manav Bharati website + UGC and AICTE websites + Google searches to check if recognition letters were awarded by UGC and AICTE for the years 2010-2013