Can I use the Smart Remote 15-2104 for a Cyberhome DVD Recorder?

The product manual doesn't list the Cyber home product. You might want to try a code scan, that might turn up a code set that is close. Here are the instructions:

USING MANUAL CODE SEARCH
If your home entertainment device does not respond
to remote control commands after trying all of the
codes listed for your brand, or if your brand is not list-
ed, try searching for your code.
Follow these steps to search for codes manually.
1. Turn on the desired device.
2. On the 6-In-One Remote, press the appropriate
device key once.
3. Hold down P until the red light blinks twice.
4. Press 9 9 1. The red light blinks twice.
5. Aim the 6-In-One Remote at the desired device
and slowly alternate between pressing POWER
and the appropriate device key. Stop when the
device turns off — a working code has been
found.
Note: In the search mode, the remote sends IR
codes from its extensive library to the selected
device, starting with the most popular codes.
Because of the library’s size, this procedure may
take some time. When the red light blinks three
times, the search of every code is complete.
6. Press P once to lock in the code.