Where is the fuel pump relay on the 95 ford taurus

Run tests. Fuel pressure correct? Spark at plugs when cranking? Fuel injector pulse working? Compression test?

I don't think the EFI relay is at fault. Other things would be dead if it was, including the starter. See here p177 to test fuel pressure, which may be too low if the fuel pump itself or the pressure regulator is faulty.

http://www.turboninjas.com/camry/eg1.pdf

I would check the EEC relay, and the fuel pump relay too. But it sounds like the ignition module is loosing power, or the pump is not getting power after the engine starts.
The computer must see oil pressure or RPM to power the pump relay after the engine starts.

try the fuel pump relay, get a chilton repair manual and find its locartion.

where is the fuel pressure located on the 2000 ford taurus exactly?

the way youve described it sounds like a fuel issue maybe filter or weak pump bad fuel pump relay or bad pressure regulator.

Have you checked the fuel pressure when running?

Is the fuel pressure correct?

Perhaps your fuel pressure regulator is bad, or the fuel pump relay is going bad.

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General rule is 32, not any lower than 28. if it is, fuel pressure regulator is bad, or clogged fuel filter, or bad fuel pump, etc.

If it has fuel pressure and fuel to the regulator and the rails, the regulator is working, it is getting spark to every cylinder and the timing is correct, You have good compression, it is likely a faulty sensor. You can test each one with a sensor tester or ohmmeter/multi-tester

Relay or sensor.

fuel pressure regulator (on the fuel rail) hope this helps and good luck