Here's another photo

Here is a link that might be useful: Another photo with bended sides

Not sure there's a proper name for that. It looks as if the smooth flat (or curved) panel was slightly raised, and then a bunch of individual sticks were cut to length and nailed / glued on before painting; it's not a finished product that somebody bought and attached to an otherwise plain door.

I can think of three ways that could be done.

BTW, the first picture is radically different than the second.

None of the methods that could be used to make the panels in the second picture are a DIY job. A CNC machine(think $20K and up) would be the fastest.

The other two would involve using routers and jigs and would be quite involved to do.

All that meaning finding the right sizes or having them made will be very expensive.

It's a reeded panel (sometimes also called "matchstick" work). In the past I have made them with one of my molding planes.
Casey

Well, I'm assuming the panels can be bought at wood places that sell wood furniture onlays/adornments. In the links above this guy adds that stuff to most all of his pieces and I don't think he's making it by hand or having it made custom.

Since there is also a curved detail (not obvious in the first round) it would be very easy to do with applied individual half-rounds. Years ago I built and faced an entire curved cabinet with that technique; it was doors and drawers with a continuous treatment of half rounds, in heart pine. Unfortunately I never got a snapshot.
Casey

Thanks anyway everyone. I'll keep looking for them. They aren't hand made, or specially made. They're just textured panels, much like the rosettes are - bought somewhere. I'll keep trying. Thank you!