In Italy with
Pasticcio we are usually referring to other kind of pasta rather than the lasagna noodle.
The classic lasagna and pasticcio are made with ragù and besciamella, but there are lots of different types. For example I simply love the white lasagna with artichokes!
as almost the totally of the italian dishes this differs from region to region, and so the name or ingredients could change!
"pasticcio" in italian means "mess" ("che pasticcio!" -> "what a mess!"), so I can imagine that the name derive from mixing everything in a casserole and baking it (just a guess though).
To add a point, @rumtscho said that he's not aware of other kind of pasta made with the lasagna noodles, but cannelloni for example are made from lasagna noodles, they're just rolled and filled with meat and ragù (or other ingredients).
To clarify with some pictures:
- pasticci (red, and white)
- lasagne (red, and white with artichokes)