Will not stay running

Can you test for fuel pressure, spark and injection pulse as it shuts off? To see what is failing, also have you any codes as not all faults set a check light, also is base idle okay? it is just not that it is idling so low that it cannot stay running? idle control system should step up idle when any load is applied such as selecting a gear or turning on the A/C even power steering switched trigger a small increase in revs to compensate for the extra load.

We checked the fuel rail and it has really good pressure coming out. We had ran it on a computer and it gave us codes well we replaced all that it said o2 sensor and the oxygen sensor and mass air flow sensor. then it still did not work, so we changed the fuel filter. I will check to see if it is the plugs or injectors when I get home this evening.

Also, the idle seems to be fine it is just when I give it gas or put it in gear it acts like I am not getting enough fuel. I can hear the fuel pump kick on too. Is there a shut off switch for the fuel pump?

It sounds a bit like a failed throttle position sensor, best way to check is with a scanner with live data read out, you can see the throttle percentage as you open the throttle with the pedal. i would look at this next.