Passive Equanimity: This refers to the aforementioned sense of faith in the divine will which enables one to carry on with a passive endurance and equal acceptance of all occurrences along the way. It assists the individual in overcoming duality and conquering the lower movements to pave the way for a more active equanimity to manifest in us.
Active Equanimity: This comes from more than just faith in the divine will. It comes from an alignment with the divine will and an identification of oneself as an instrument of the divine will. In this state, one can clearly see that which is not serving the higher purpose and remaining still within oneself, one can fight to quell falsehood.
Ref : The Synthesis of Yoga