>>How should a follower of advaita vedanta,look upon Bhagawan Buddha.He
is considered to be an avatara of Shree Hari, yet Bhagawan Bhasyakar
in His Brahmasutra bhasya after refuting buddhism, criticizes Him
saying that He wanted to delude people,as so many contradictory views.
For an Advaitin everyone is an Avatar. (in tamil they use Avatar in pun, to refer to some naughtiness or troublemaker).
The ref to buddha as bhagavan comes in the purana, accepting him as one of the avatar of vishnu. though, this is not considered as one in the list of ten avatars, because there, only the famous, according to the tradition, is considered.
If it is so how come He is against the shastra and bhagavan bhashyakara against him ?
It is simple (maybe not so), each avatar has a purpose. one to save the world (sukara – pig), one to save a devotee (vamana – dwarf), one to destroy the asuras himself (Rama), one to be a catalyst in destroying the asuras (Krishna), one to help the people in general (Kurma – tortoise) etc.
In this we can list the avatar of BHAGAVAN Buddha as the avatar to divert the people from the shruti to protect the right knowledge. Half baked people with half knowledge or people without shraddha on the scriptures are like our neo-secular people, they are dangerous to the religion in general and to themself in particular. Destroying them is not a way in the scheme of creation, then, bhagavan will be like a person with likes and dislikes or like a dictator.
So, to protect the shastra he guided the others who have no or less respect towards shastra. When bhagavan bhashyakara condemns, he condemns the buddhism as a school of thought for realization, and not a person. If an advaitin condemns someone as a person, he will cease to be one, like a vithandavadi proclaimining himself to be so (if a vaithandika says he is one, then he ceases to be a vaithandika, vithanda base rule is only to condemn others idea and not proclaim his idea.)