Can Yarns transpose octaves?

I’m considering CV-to-MIDI modules, and Yarns looks promising. Can this module transpose CV pitch up and down?

How many octaves?

Can it persist offset configurations across power cycles, or do I have to reconfigure the module each time I turn it on?

Yarns is a MIDI to CV module, not the other way round.

Assuming you meant MIDI-to-CV (i.e. MIDI in, CV out) then yes, Yarns can transpose an incoming MIDI signal up or down.