Sorry to hear you are having issues. Are you sure you have two folders nominated in Tixati SETTINGS >> TRANSFERS >> LOCATIONS - ensure ticked for 'Upon Completion move to this location:'
You didn't mention whether you're using Linux or Win32 or Win64
Not sure how you can test your problem - seems you know your config quite well already and can test paths by commandline etc
I would suggest with v3.19 move from C:\something1 to C:\something2 or to D:\something3 - and try a small download and test move on completion locally first; before troubleshooting network moves.
There were definitely problems with moving files in earlier v3 versions, so please ensure you're on v3.19 otherwise Im guessing testing anything is pointless!!!
One thing does spring to mind is to try downloading last released version of Tixati v2 which was 2.89
(look at release notes in news for version tracking)
Just change the numbers on the download from (latest:)
IE change the version digits "3.19" to "2.89" (OR whatever version was released)
Instead of wasting a ton of time, try that software walkback and see if it works?
Then maybe retest with 3.19 and let us know how you get on? Good luck