Unfortunately, I have a cheap FCOM that doesn't give much detail on the modes, and we don't allow arming of VNAV on the ground. TOGA clearly detects engine failure given the 3 options on commanded speed in an engine failure. It is entirely opaque to me from the documentation I have how it does that though!
The latest FCTM I have is Rev 14 (June 2015)
For the 3rd sector, the aircraft is required to accelerate at a given rate to meet the requirement to be clean at Vfto within the MCT limit time. The NTOFP for the 3rd segment is an acceleration gradient to meet that, which is what the 0-200fpm climb limit in the FD is there to command (see FCTM 3.39) - it suggests in raw data to maintain "approximately level flight"
This seems to me a bit academic given a 10 min as opposed to 5 min MCT limit is available as a service bulletin with I believe no technical changes.