You need to remember that this is a hybrid not an automatic.
The car maintains the state of charge - there is no “second” or “third” in the conventional sense because the output from the engine is also being diverted to charge the traction battery. You don’t control the “gas pedal” as such - you are simply commanding how much power you want delivered. If you demand power which isn’t available from the battery the engine will run at whatever speed it needs to in order to drive the HSG then spit out the remainder either from engine to the wheels (parallel hybrid) or battery to the wheels (serial hybrid).
At very low SOC and on a steep hill you are now bouncing off the laws of physics.
I suspect the only way you could fully 'solve' this isn't in software - it would be by having a larger (and more expensive) HSG and larger battery - meaning you could run in serial model almost indefinitely even when on a slope at very low SoC. This would be closer to the Nissan approach with their e-Power cars.
How to drive hybrid vehicle on steep slope road uphill
1-If there is a slope in front of you, do not try to maintain its speed on the slope, let the vehicle slow down until it reaches the top of the slope. It will support you if your battery is full in intermediate accelerations while going uphill.
2-Try to enter the slopes faster from the beginning because due to the e-CVT transmission, you do not have a chance to reduce the speed from the middle of the slope and step on the gas, the first part of the power section is sufficient when you loosen the gas from time to time and press the gas again, both the cry of the engine decreases and you get out faster by consuming less.
3-If you are patient while driving uphill,
if you keep your foot in constant gas without giving too much gas to the vehicle, you will see that it accelerates without increasing its revs, the reason for this is that the electric motor draws energy from the battery and supports you.
It is not possible to climb better in this engine with CVT transmission and Atkinson cycle, but if your battery is at least 50-70% full, you will see that it receives electricity directly from the battery without charging when going uphill.