I agree with Ag 2012 that it is difficult to give a definite answer to your question.
There is no Venetian silversmith with the initials R.T or B.T on any text, and I have never found it before.
This does not mean much, because there are many non-cataloged silversmith's marks.
The "moleca", mint mark, has many variations, below I show some of them.
The one on your coffee pot isn't entirely convincing, but it doesn't seem blatantly fake. The coffee pot itself seems genuine from XVIII, although the ivory handle is not typical of Venice.
You have to decide for yourself.