I've just been to have a look at the new racks at Waverley. It's the Josta doubleparker. It's German engineering and good enough for Euston Station and Portland State University. If you can lift your bike, you can lift your bike onto the upper deck of the rack.
Actually, I was pretty impressed with it. The upper deck telescopes out to clear the bike below, and then hinges downwards to about a foot off the ground. There is a pair of automatically locking pegs that grab onto the rim as the wheel passes over. Nothing fancy or complicated, but it's effective. There is a spring-loaded long, thin n-shaped hoop at the far end for a wheel to locate in, although it's better than a wheelbender. The hoop only moves two or three inches.
When I was at Waverley, there was one bike with a child seat on the back, which prevented the rack immediately above from being used, as the seat got in the way. I tested the ground and upper racks with my shortest recumbent bike, and I couldn't get it to lock safely into the upper rack, whichever way round I parked my bike. The thin hoop wouldn't move far enough for my back wheel (or my front) to engage the little hooks. I could however put my bike on the ground rack fairly securely.
There's a great big narrow hoop that's hinged roughly below a bike's cranks, so there's plenty of scope to pass a U-lock through the frame and back wheel. Folding bikes ought to fit fine on top, but most recumbents probably won't owing to their longer wheelbase ... mind you, who leaves a fancy recumbent parked at Waverley for longer than it takes to buy train tickets?