Flight Instructor with student in a PA-28 reported an engine failure after landing with visible smoke coming from the cowl. The Instructor and Student evacuated the aircraft and waited for assistance.

Narrative

My student is working on his commercial single-engine. The aircraft had full fuel and 6 quarts of oil. Shortly after we got in the aircraft; we headed to the run-up area to perform the run-up checklist. Every item checked was within limits such as engine gauges all in green; magnetos; as well as throttle idle check was within limits. We departed to the southwest so my student can practice some commercial maneuvers. We practiced stalls; steep turns; simulating engine failure; eights on pylons; and chandelle. We then flew back to ZZZ. We did one full stop taxi back on Runway XXR. After the landing; we requested another departure to stay in the pattern. We were instructed by ATC to taxi back to Runway XXR. [My student] performed a pre-takeoff checklist and upon this point; all engine instruments are within limits; and no indications or signs of engine problems.We departed Runway XXR and made right traffic to practice a short approach and a full stop. While my student is practicing a short approach; ATC advised there was 'precipitation moving over the field' I took control and landed the plane. Right after the touch down the engine completely quit as we are exiting Runway XXR. We notified ATC of the incident and we were told to advise if we can restart the engine. We performed 'hot engine start' checklist hoping to restart the engine and clear the runway. Unfortunately; we were unable to restart it. Shortly I saw smoke coming out of the engine's comportment and was also notified by ATC. We then immediately evacuated the aircraft and waited for assistance.