I must say that I don't know of any accurate FE models of the celestial objects used by the ancients. If I recall correctly, the model used in those days was of a number of spheres surrounding a round Earth, which had smaller spheres embedded in them. The larger spheres rotated around the Earth, and the smaller ones had the planets attached to them and rotated occasionally to account for the retrograde motion of the superior planets.
FET uses the heliocentric model for the planets. The planets all revolve around the sun while the sun revolves around the hub of the earth. This combined motion of systems creates the occasional retrograde motion of the planets as seen by an observer on earth.
It is a little hard to just describe in text, but there is a difference in the motions of the Planets Mercury and Venus as compared to the rest. IF you use an astronomy program and plot out the movements of the planets you can see the difference (note: the astronomy program is just to show the motions, not as a proof of them - the proof is to go out and plot their movements over several years - it will take time, but can be done with a moderately priced - around $1000 telescope - and a bit of patience and attention to detail).
The RET Model has these Outer Planets as being further away form the Sun then the Earth where as Mercury and Venus are closer to the Sun than the Earth. RET predicts the positions of all these planets very accurately and so as a Model is extremely good (note: this is a model not specifically that it is really this way, it just means that when modelled mathematically it give accurate predictions as to the future - or even past - positions of the planets).
As the motions of these outer planets can most easily be described by having them go behind the Earth (as compared from the sun), how does FET cope when the planets are modelled as being between the Earth and the Sun?