You don't know that space and time came from nothing, and you don't know what a spirit might be made of. For example, the BB could have come from a super massive black hole exploding, and spirits, if they actually do exist, might come from dark energy or dark matter, or even something else...
Actually I do. It is not possible for matter and energy to exist outside of space and time. So our space and time was created from nothing. Because the only thing that can exist outside of our space and time and not be a part of another space and time is nothing.
Red shift, cosmic background radiation, the first and second laws of thermodynamics, inflation theory and Friedmann’s solutions to Einstein’s field equations say so.