What is the objective of Ashramvyavastha?

The objective of Varnashramvyavastha (System of Classes and Stages of life) was to bring about progress in personal life through Ashramvyavastha (Stages of life) and to unite and bring about the progress of the society through Varnavyavastha (System of Classes).

What bhav should one possess while giving an offering?

An offering is an object or money gifted with faith and respect to a deserving individual. Offering is a kind of sacrifice. Here, man surrenders the ownership of a particular object or money, and the recipient becomes the owner.