I am not familiar with that machine first hand, as I use a Masterlink. Here is my two cents anyway.
Finalization has nothing to do with compatibility.
For best compatibility, make it a Red Book disc. This puts the TOC on it, and it will be accepted by most newer generation
CD players. If you cannot burn a Red Book disc, then that may be the problem right there, as most older CD players need the TOC. On the flip side, there are older generations CD and DVD players (that play CD's) that will not play a burned Red Book disc from a CD-R or CD-RW drive.
The discs that you are using should not be an issue. The only issue with blank media CD's would be in the burning of the disc in your machine. If the Tascam burns a disc, and it sounds like it does, and you have no errors, etc., then the type of disc that you are using should not be the problem. It is a format issue as stated above.