I´m on the same trouble.
My operations team have deleted a .tuf file form one of my logshiping servers.
My trouble is bigger than usually do because my database has 2.5 Tera Bytes so I gonna take 3 days to recevery it at least.
I did the same thing (deleted .tuf file) in a controlled server, and try to recover some logs without the .tuf file, but didn´t work in any way.
Let me know if somebody has solved this trouble without restart the whole logshiping processes.