I was hoping to just use the passive feature for right now anyway. No luck so far. I have consulted the manual and I believe I understand the directions: remove mechanical key in transponder and place the resulting indent over the little nub right "above" the stove key. Hold there for 2 seconds, then I should be able to depress the stove key briefly and turn the key as usual. I also tried depressing the stove key for 2 seconds.
I believe you must also continue to hold the FOB in [the correct] place when you depress the knob.
The passive component doesn't have any connections and is very rugged. I could be surprised if it didn't still work, although I suppose it is possible it could be damaged or missing. I can't tell for sure from your photo if it is still in place, but it looks like it is missing. I seem to remember it being a small, black, rectangle-like box near the end of the active fob. You can see the indent in the plastic where it lives; seems to be empty in the photo (could be in the other shell half?) If could have been ejected out of the plastic holder when it was smashed open.
When I use passive, it is almost always with the passive-only (small) fob and not the active (larger) fob. So I have less experience doing it. I put the fob in front of the nub. It can be tricky- it really has almost zero range and I rarely get it to work the first few times. I would try it a few more times.
Also, have you tried a new battery? Certainly worth a try to see if the active part still works.
You shouldn't EVER be operating the bike if you only have a single FOB. That is extremely dangerous. If the one remaining FOB is lost, trying to get the bike operational again is a nightmare.
Your experience is why I also recommend to everyone that the active fob is kept in a zippered, inside-pocket of the riding jacket and never removed from there.