Have part in hand. No number, just abs plastic.
Yeah that's not entirely abnormal these days, a lot of parts may or may not have Toyota/Lexus stamps on them; i.e. TPMS sensors these days don't even bother with a Toyota part number on them anymore beyond the bag/box they come in.
Unfortunately, whoever installed that aftermarket unit butchered that face plate bezel, the vents themselves are separate from the headunit but those trim panels you want around the dials are part of the bezel I'm sorry to confirm. I'm guessing they though they needed to replace/remove those and never glued them back on when they did...
You might be able to find an aftermarket one that you can replace, but I am not familiar with the aftermarket radio scene beyond some minor installation/diagnosis (we don't do a whole lot of it since we work with a shop that does installs and other aftermarket electrical accessories of the like, we we tend to sublet a lot of our used/new vehicles for those types of upgrades/repairs). I will say that you
might be able to find a broken/defective headunit someone is selling for parts since all you need is the bezel, but I don't know how many of them are out there; if they get replaced at the dealership, they usually get sent back to the manufacturer (Denso, Panasonic, Harmen-Becker, etc.) under a core exchange program.
I suppose you could try cold-calling some radio shops in your area if they have any bezels/broken units you could buy off them?
Post Note-
So I was doing a quick search on e-Bay to see if I could find some damaged units for you... it looks like the vast majority of aftermarket bezels seem to not have those trim pieces around the vent dials? Seems a bit weird to me since you can't get them separate. I can't tell from the parts diagrams, but
maybe the vent assemblies themselves come with new dial trim? The part number is 55845-35040 for the Vent Assembly that goes behind the bezel. Unfortunately I couldn't find a picture of what a new vent assembly looks like, so I have no idea if it includes those trim pieces (likely it doesn't given how it installs onto the bezel.) Sorry...
