Your logic is a bit skewed.
Lambda sensors do not switch. They provide a voltage output depending on the O2 concentration in the exhaust gases.
The ECU is detecting the voltage output that the lambda sensors are generating - 0.35, lean, and as the fuel trims are +28%, it cannot get enough fuel to get the mixture richer, to get the voltage over 0.5, which would then allow the ECU to say the mixture is too rich, to then reduce the amount of fuel, which when burnt will give exhaust gases with more O2, dropping the voltage that the lambda sensor output that the ECU sees.
If you have got an injector that is not working, whether it is the injectors themselves, the LPG ECU, which has got a problem, not giving the injectors full voltage, or the main fuel ECU injector driver circuit, you will get the same problem.
The fuel mixture will always be lean and the lambda sensors will be working, but the fuel trims will be to maximum richness and you will never get the thing to switch (go closed loop), except by restricting the airflow.
You would get a similar problem if the fuel filter was blocked - high in the rev range, or if the fuel pressure regulator was not giving full fuel pressure you would get exactly the same problem all over the rev range.
There might be a filter in the LPG regulator, or the regulator itself not giving high enough pressure.
It might be an earth wire for the ECU and not the ECU itself.