macOS 10.13, Radeon Pro 560 4 GB
Broken: (example: 2.69.7 4b206af, see splash screen)
Short description of error
Using cycles and a particle emitter emitting a basic cube, you can use Particle Info node feeding a ramp to change colour of the particles as they age.
If though, the particle object comes from a Particle Instance Modifier, it appears that none go the Particle Info parameters can be used. I can't find anything in the docs to say this should happen.
Exact steps for others to reproduce the error
Based on a (as simple as possible) attached .blend file with minimum amount of steps
Load the attached scene and shift+z. The emitter on the left is emitting a particle which is using the instance modifier. The emitter on the right is emitting its own particle.
Both are sharing the same material which is using age/lifetime to feed a ramp.