You didn't put a link to the device, so it's difficult to say. I suspect it produces MP3 files from your cassettes and then you can use your computer software to create DVDs from them.
If it saves the track to an mp3 format then you could use a computer to make a CD of the music. I've never come across a Cassette Recorder, having said that I don't have any cassettes worth listening to lol.
Create an MP3 from your cassette and then use something like "Audacity" to split it into separate files for each track (if you want to) and then create an audio CD from it.
Given that your cassettes are probably not super quality any more, it's probably as good a way as any of getting them onto CD.
Audacity is just free audio editing software - someone on AB recommended it a while back. The device you're looking at will produce one MP2 file for one side of a cassette ie, a 90 min long MP3. You can use audacity to split it into a separate MP3 for each music track. You can also use audacity to create a CD that you can play on your domestic CD player.
All ways are here if you want to do a transfer direct from your own tape player to your computer, but one can buy a special tape player such as this, with all the instructions on how to use it.
The tape player shown in the amazon recommendation works reasonably well and it is not difficult to copy tapes to MP3 format. You will have to put a little effort into learning how to use audacity. About 6 months ago I explained on AB how to copy tapes and convert them to MP3 files.