Ford taurus backfiring - 2001 Ford Taurus

The power steering fluid has nothing to do with the backfiring. Need to know why you think the timing is off. is there something else? If you have not played with the timing, backfire could also be an electrical cross fire issue. Have the compression tested to make sure the timing chain is not the issue. If the compression tests good, all the valves and the timing is working. Recommend you look at the spark plug wiring and replace if wet or damaged.

you might need a tune up but also check the pcv valve and its upper u-shaped hose directly under the throttle body.

I would suggest you start with the basics. Check your wiring on your spark plugs to ensure they are in the right order. If you can grab an OBD scanner, I'd start with it as well. It can reveal many mysteries. Your running rough usually sounds like a timing issue. If there are over 100,000 miles on the vehicle, the timimg belt will be suspect.
Best of wishes.

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tune it up make sure the plugs are correct and check gap replace wires .

Back firing out of the intake is because the valves/cams are not set right. When you did the timing belt . did you set the crankshaft mark at top dead center of the compression stroke. If it's at the exhaust stroke this would cause backfiring and violent shaking.

Its out of time. Either the valve timing is off or the ignition timing is off.

backfiring is a sign of low fuel pressure. sputtering is a sign of a misfire, You should have a code stored. Get the code to further diagnose

Replace fuel filter, spark plugs and definately plug wires. You should also make sure intake filter is clean and clear.

Most fuel injection systems require around 35psi in order for the injectors to function properly.

make sure all wires are secure on the plugs. Make sure that if you bought the plugs aftermarket, that they are the suggested equipment from the Ford (http://www.car-stuff.com/carparts/fordtaurus20002000motorcraftmisp432154315.html Make sure the plugs (gap) were not damaged during installation. Check the firing order is correct. (1,4,2,5,3,6)