Might be difficult and tedious to reverse engineer a remote control as it involves understanding the communication protocol it uses and capturing or analyzing the signals it sends. Start by searching for technical documentation for your specific remote control or LED strip. Manufacturers often use standard communication protocols, and documentation might provide valuable insights.
Even if you can capture the signals sent by the remote control, you still need help to analyze these signals. Then you'll need to decode them and this involves identifying the modulation scheme, pulse length, and other parameters. If you want to send the same signals yourself by emulating the remote control, you may need to use a device capable of transmitting at the same frequency.
I hope you can all figure these out. Good luck!