To back up what Nymbil told you in the comments

Replicator engram unlocked
https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=1928044233

S+ fabricator I can make the regular replicator
https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=1928047051

Tiny fabricator has nothing under tek but the generator and nothing at all under replicator, not even the normal one.
https://steamhost.cn/steamcommunity_com/sharedfiles/filedetails/?id=1928048611

We have reinstalled the mod, and even the entire server. No one can make the tiny replicator. I have every single engram unlocked (as do several others), and can make everything except your tiny replicator.