That "carotte" method makes a massive compressed sausage of tobacco that was traditionally sliced off to smoke in a pipe or grated to make nose snuff.
This video shows how to make a traditional american twist:
I don't make mine either way as I like the twist to be fairly thin. What I do is take all the midribs out when the tobacco is in high case, lay the half leaves overlapping in a long line on my work bench and then begin rolling them diagonally from the bottom left corner as I look at it from above. I roll them pretty tight - and once they're done they spring in to twist shape. Then I tie a midrib around the ends - or string if they're too brittle. It doesn't take long at all once you've got the knack.
I don't use any sauce or sweeteners as I like mine plain and so it gets very dry - but it stops being dry when I put it in my mouth! If you were going to put a sauce on it I'd soak the leaves in it before you twist them up and have a little glycerin or propylene glycol in the sauce to stop it drying out.
Cheers
Squeezy