IIM Ahmedabad - Indian Institute of Management

Well for future growth you have to improve your base in English. For IIM, CAT exam and Personal interview will be mandate.
So, i would like to recommend LPU for MBA but that too would require you to give an interview on skype and you also need at least 55% in your graduation. Of course if you pass the skype interview there are many chances for you to improve your English in LPU as it offers special classes for those who are not so good in English.
LPU has been ranked 38 in the Management ranking in 2018 by National Institutional Ranking Framework (NIRF). The Business School of LPU is accredited from ACBSP, Accreditation Council for Business Schools and Programs from the USA ensuring quality education and industry experienced faculties, studying in LPU will get a degree accredited from a body of USA.
LPU provides ample opportunities to each and every eligible student to secure good placement with the help of a dedicated Division of Career Services. The university has been ranked high by various outer agencies with regard to placements. LPU is conferred with National Employability Award 2020 by Aspiring Minds for the 7th time in a row for having Most Employable Students and being one among the top colleges and universities in India with one of the Highest Employability rates. Companies like Colgate Palmolive, Hindustan Unilever, Godrej Consumer, SAP Labs, Asian Paints, Bajaj Allianz, CEAT, Khimji Ramdas, Ernst and Young, Flipkart, Federal Bank, Moodys Analytics, Blue Star, Zomato, Berger Paints, Marico, Forbes Marshall, Upgrad Education, Havells, Apollo Munich Health Insurance and many more.

Yes, you can be eligible if your University is recognized by UGC. The eligibility criteria of IIM-A for MBAFABM is given below.
Eligibility criteria : The candidate must hold a Bachelors or Masters Degree in agricultural sciences or agriculture-related disciplines, with at least 50% marks or equivalent CGPA [in case of the candidates belonging to Scheduled Caste (SC)/Scheduled Tribe (ST) and Differently Abled (DA) category, this is relaxed to 45%], of any of the Universities incorporated by an act of the central or state legislature in India or other educational institutions established by an act of Parliament or declared to be deemed as a University under
section 3 of UGC Act, 1956, or possess an equivalent qualification recognized by the Ministry of HRD, Government of India. The Bachelors Degree or equivalent qualification obtained by the candidate must entail a minimum of three years of education after completing higher secondary schooling (10+2) or equivalent.