I think that the tray drive IC logic would be on the board that is attached to the bottom of the drive itself. Probably a surface mount device, that would be my guess. The TDA7073 you have pictured is a dual channel amplifier.
The 2 wires that run the tray and tray position switch leave the transport unmolested by way of the 4 wire harness. I will show the bottom of the board where the harness plugs intom in the next post.
looks like you may have to lift the main board to find out where those two wires end up getting driven by. It could be the TDA but it is an unusual application for that IC.
OK pins 9 and 12 are driving the motor, I agree to that. When you scope pin 9 and 12 and attempt hit the drawer open button is there any activity on pins 9 and 12? One should go high and the other one low.