Andy Wardley describes the mechanics and benefits of dynamic bridles
extremely well. His descriptions apply to both Turbo and Reverse Turbo.
The difference between the two types of turbo are the direction the tow point moves when tension is applied to that side of the kite. In forward flight,
in the case of a standard turbo, the tow point moves down and away from the centre of the kite. With a reverse turbo, it moves down and towards the centre of the kite.
Moving down - this effectively increases the length of the uphaul, leading to greater sail pressure and tighter turning.
Moving away from the centre of the kite - in general
, this reduces the kite's tendency to track straight, increasing its tendency to turn.
Moving toward the centre of the kite - in general
, this increases the kite's tendency to track straight, decreasing its tendency to turn.
In non-forward flight (i.e. tricks) the tow point behaves quite differently depending on the orientation of the kite, weight distribution, sail billow, etc..
For example, in the fade position the length of the uphaul is no longer a factor. However, the distance of the tow point from the spine has a marked effect. The tow point on a reverse turbo will be further away from the spine than on a standard turbo. In the fade, close together tow points force the flying lines to cross the leading edge towards the nose. This applies downward pressure on the nose and can lead to the kite tending to fall out of the fade. The wider apart tow points on a reverse turbo allow the flying lines to cross the leading edges away from the nose, closer to the wingtips. This affects the height of the nose much less and can lead to a more stable fade. (However, a kite with a lot of tail weight might not easily come out of a fade when fitted with a reverse turbo)
The wider tow points in a reverse turbo make initiating a back spin easier (it's easier to spin a bike wheel if you apply pressure at the rim rather than next to the hub).
There are so many different ways a kite is oriented in various tricks it isn't easy to summarize all the effects various bridle configurations have. When other factors come into it (sail shape, winglets or not, weight distribution, etc.) it becomes almost impossible.
P.S. There is also the turbo bridle where the towpoint is on the upper leg. Very effective, but different again
*Edited to correct spelling mistake