I can agree with your first two sentences there, but the rest is oversimplified, at best.
Exact ratios will vary with brand and model, but in the typical eCVT of the 3rd-generation Prius, a fraction (specifically 2.6/3.6) times the engine torque goes directly to the ring gear, which is geared at fixed ratio to the final drive. Torque of one motor (the one conventionally designated MG2), multiplied by a fixed 58/22 gear ratio, is also added to the same ring gear. The remaining 1/3.6 fraction of engine torque goes to another motor-generator (MG1). When MG1 is spinning "forward," its electrical output power drives MG2, charges the battery, or powers other electrical components or some combination.
In some circumstances, MG1 spins "backward," and energy flows in the other direction, but engine torque is always split between MG1 and the ring gear in the same ratio (even when it's negative).