"Sport" was a equipment version of bravo as well as "Dynamic" Emotion".. maybe others.
So you can have 150 t-jets that are not "Sport", and so will not have the "Sport" button.
Aurick is correct "sport" means it's the trim level rather than a button that gives you a sport function. So the 150 sport meant you got a 150bhp engine with sportier seats side skirts and a spoiler and lower suspension (I think)
The better equipped dynamics came with the same engine, but a city mode instead. The sports also overboost, the dynamic doesn't. (So far as I'm aware.)