Yes, it is the newer design, having the plastic end that goes through the transom. Make sure to put some soap on the hose before installing it so it can be easily adjusted in order to line up with the hole in the transom assembly.
IIRC, the plastic piece needs to be very square with the hole, else the bolts for the barbed fitting won't want to go in. Also, check the existing hose for Bravoitis and make any needed fixes to the transom assembly before installing.
I would use the exhaust tube rather than the exhaust bellows (which is useless IMO )