Most Australian universities accept a three-year graduation system for entry into the MBA programme. So if you have graduated and studied degrees like Bachelors of Arts (B.A), Bachelor of Commerce (B.Com) or Bachelor of Science (B.Sc), you are eligible to apply in Australia as it is equivalent to a British Bachelor Degree.
Some universities may require and honours degree, which is usually equivalent to B.Com (H), B.Sc (H) , or a four year degree course like B.E.
Some universities also accept students for the MBA without a Bachelor degree, if they have considerable work experience and significant professional achievements.
Note: IELTS is compulsory requirement for Australian student visa for students from India, Pakistan, Bangladesh, Sri Lanka and many other countries. So even if you get an admission without IELTS score, you will not get a student visa without IELTS score.