Is space "active" or "passive"? It' is a coordinate system, too. Think carefully, because space-time curves due to the presence of mass/gravity...
Besides, active or passive is a term you have invented to describe what ever it is you have in your head. Please describe the meaning of those two terms and the theoretical consequences of them. For example, how would I tell experimentally if I am dealing with an active or passive phenomenon? Is an electormagnetic field active or passive? Why?
If space/time is curved due to gravity then it is passive as it is being acted upon. I'd say that gravity is the cause and therefore active, but it is matter/energy that holds the cards here.
Matter/energy is the substance of all things. Time and space only exist in the attempt to rationalize our perceptions and limitations.