Setup code 0435 for which device button? Audio?

If it is Audio, see if you can use Audio 0420. That has the same protocol and device numbers. The remote will blink twice if it accepts the 0420 setup code.

EDIT:
Ah, now I see that this remote only has TV setup codes. There are a couple of ways to go here.

1) Try each of the following setup codes, which all have the same IR protocol and device number-- NEC1, device 0. If the remote accepts the setup code, try pressing the number buttons, and volume, etc. Maybe you can get a close match.

2) Try all 256 possible Extended Function Codes. I'm not sure about your remote-- whether it uses 3 digit or 5 digit EFCs. But you can use a digital or cell phone camera to decide .

The basic procedure (using 0435) is to press Magic, and then either 3 or 5 digits. When you enter the last digit, the remote will send the IR signal. Use the camera to see if the remote sends a signal after 3 or 5 digits.

Once that is clear, with the radio on, start with 000 or 00000 and try each number up to 255 or 00255. Write down what happens for each EFC. Once you have all the working EFCs, you can do a keymove to assign the EFCs to the remote buttons of your choice.

1) Press Magic until 2 blinks,
2) Enter 994
3) Press Magic briefly
4) Enter the working EFC
5) Press the desired button to assign to.

Repeat for each working EFC.