Hi italiansilver
Your sugar bowl actually has something unusual, as the punching is not according to the rules, but I would not be so sure that it is a fake.
It is certainly uncommon to find the stamp of a Turin assayer together with the " trione", on the other hand they are two different countries, the kingdom of Sardinia and the Lombardo Veneto.
I modified your photo by pasting around the stamp of Bartolomeo Bernardi two other marks, which I consider absolutely genuine.
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If yours is a fake, the forger is pretty smart.
I have also reported two marks attributed to Bernardi taken from "Bargoni" (B1 and B2). A significant difference in the shape of the crown can be seen. He evidently used different punches.
I wouldn't mind the "trione" too much. As you can see there are some well-struck and some very badly struck.
To conclude, I would not bet that the sugar bowl is genuine, but neither that is it certainly false.
Best
Amena