This was actually funny sort of like Gilda Radner's Rosann Rosanadanna from 70's SNL because everything within the quotes is seriously very wrong.
The first thing is the rocket we (NASA) sent to the moon was the Saturn, not the Titan. The Titan was the two stage launch vehicle that sent the Gemini Astronauts up. The Titan was also the launch vehicle for the USAs largest ballistic missles. The Titan had two first stage engines, each rated at about 150,000 lbs of thrust barely enough to achieve obital velocity, much less escape velocity and one second stage engine of 80,000 lbs thrust . The Saturn on the other hand was a three stage rocket. The Saturn had five Rocketdyne F1 first stage engines, each of which was rated at 1,500,000 lbs thrust for a total of 7,500,000 lbs thrust. In terms of horsepower, each of the five engines is approximately 32,000,000 BHP. There were also five Rocketdyne J2 second stage engine of 250,000 lbs thrust each, and on Rocketdyne J2 third stage engine.
The Soviets actually landed (crashed) an unmanned vehicle on the moon a couple of years before we got there, and until the Saturn was built had the most powerful rockets. The soviet rockets were not cobbled together but appear that way because of the fluted first stage. The Saturn has a fluted first stage too, but only for the bottom 10 percent while the Soviets was probably about 50% of the first stage length.
All those old movies of rockets exploding. Those are ours (USAs).
An engine is a motor that consumes fuel. Your dafynition of a motor is correct. An electric motor does not consume fuel but convert energy from one form to another.