You would first need to download the video from YouTube so that you'd have the source file stored on your computer. You can do this by using a software online, or something like YTD Video Downloader. This allows you to download it from online and save it to your system. From there it is all about firing up your DVD burning software and burning the disc on your DVD recorder as a video.
I know a screen recorder, which allows you to record YouTube video in high quality. It's flexible to choose a recording area in full screen or a customized size. Meanwhile, during the recording process, you have right to skip unwanted part and cut recording to different sections handilly. This screen activity recorder at the same time supports lots of output formats and popular devices.https://www.joyoshare.com/screen-recorder-for-win/
It is unlikely to record youtube by DVD recorder. If you want to record Youtube, it is unsafe to use plug-in like Downloader. Using Screen recorder is the most safe and effective method. You may try fonepaw(https://www.fonepaw.com/screen-recorder/)