I am have the same issue on a 2012 LR4. Started happening 1 week after a new battery was installed. Took it back, was told it had thrown P0087 code. Low pressure in rail. We had new high pressure pumps installed. It drove good for a few days then the RESTRICTED PERFORMANCE display came on along with P2279 intake leak. No leak was found, code was cleared. Hard reset on ECU was performed. Vehicle just shuts off whenever it feels like doing so. No real pattern. So, shop suggested tank pump. We have replaced both high pressure pumps, tank pump, MAF sensors, crank sensor, air filters, fuel filter on top of tank, cleaned throttle body, ran induction cleaner service thru injectors, new relays, oil change, new battery, new LR oem gas cap and it still shuts off. Mostly on a slow roll backing out of garage. Yet, it could be at idle and just turn off. All electronics stay on. We have to push on/off button in order to shut car electronics off. Yet, like others have stated, it starts right up and runs great. No misfire, no stumble, no warning. Does not store a code. Only codes that were stored and cleared were P0087,P2279. The other day dash displayed thst the gas cap was loose. It has a new gas cap. Fuel pressure per scanner reads 650 at idle and 2150 avg going down the road. Any help would be most appreciated. Thank you