Flight Instructor on training flight in a BE-95 aircraft reported the Nose Landing Gear collapsed on landing.

Narrative

On the afternoon of Date; I was on a routine training flight with one student training for their multi-engine add on.The entire flight was without any abnormalities; on our final approach all the normal pre-landing checks were made; gear was put down and I could feel the landing gear go down; I saw the green indicator light; and saw the red flag for the nose gear in the down position.A normal and smooth touchdown was made by the student; both mains touched down and he held the nose wheel off nicely. When the airspeed had decayed and the nose was let down it proceeded to fall all the way to the asphalt. I felt and heard the props striking the asphalt and pulled full elevator to take as much weight off the nose as I could. We pulled the mixtures on both engines.I knew there was nothing else to do but hold on and maintain centerline of the runway using rudder inputs.We came to a complete stop on the centerline of Runway XX and shut off both mags for each engine; shut off masters and generators; and made sure the mixtures were completely closed.We then exited the aircraft without any injuries.After further examination part number 002-820017-1 had [broken] causing the push/pull rod for the nose gear to not lock the nose gear into place.What I had learned from this was a more in depth inspection of the landing gear on preflight to potentially avoid this from happening again.