This is not MOD format music, as MOD is sample-based. The ZX Spectrum "ProTracker" has nothing to do with Amiga MODs, even if its name might imply that.
You can find the second part of the soundtrack here, named "Doom-2":
https://zxart.ee/eng/authors/s/sauron1/Maybe you will also find the first part there, but it's not "Doom-1" as one might want to believe.