You are dealing with a REAL IFFY PROBLEM here!
If it was solid wood, steaming or soaking in water would be my answer but, do NOT try to steam or use water with plywood as it will delaminate so fast that it would make your head swim.
If I were to try bending this (I am assuming that it is 1/4" or less thick) I would find something round like a can or bottle a bit smaller than what you need for a radius and try wrapping using my hands it around as far as I felt comfortable with, to see if I could at least get it started into a curve without breaking.
(Now that I think about it maybe start with something larger than the final radius and work your way down smaller in steps.) Then wrap some rubber bands around it and leave it overnight so that it keeps tension on it. (overnight or longer if necessary.)
The next day unwrap it and see if it will hold a curve. If it is still too loose go to the next smaller size as you will get some spring back for sure. When you can get it to hold a curve close to what you need I would go ahead and glue it to the base piece and let the glue hold it in place.
I'm NOT at all sure this is going to work (I've never tried it) but, it is the best suggestion that I could come up with on the spur of the moment.
Rog
PS It is called "grain" not "vein" of the wood. Which with plywood is only on the surface layer and every other layer there after. The other layers are running perpendicular to the first to create strength and that is why it is so hard for you to bend. If you have five ply plywood, the top, middle and bottom layers the grain will run in one direction and layers 2 and 4 run in the other direction.