I think that fingerprint sensor worked on my iPhone but Touch ID did not work for me on the free Mac app in the past. I could use a pin in the past.
I think that the app purchase on the iPhone has nothing to do with the Pro-Version for your Mac. So I think for Touch ID you have to buy the Pro-Version for Mac as well.
I don't know if Enpass 5 was available as Pro-Version.
Maybe Support can clarify this.