Insufficeint fuel delivery bucks chugs and backfires

check if engine management light is on on dsh. check plugs see that they are not fouled and if they have correct gap.

poor fuel delivery, chugging, poor acceleration, stalling, hard starting are just some of the symptoms.

If Service/Check Light On Have Computer Scanned For Codes
Have Exhaust System Checked For Obstruction
Have Fuel Delivery System Function Checked--Don't Forget Fuel Filter.

Most commonly, this is a fuel delivery problem. Things to check in this order: 1) Fuel Filter 2) Fuel System Pressure Regulator (on the fuel rail at the engine); 3) Fuel Pump.

Fuel delivery problem, not enough fuel on acceleration could cause backfires. Many things cause backfires, mechanical and electronic. I need more info to give a better diagnosis. Did the problem happen all of a sudden or has the vehicle been running crappy for awhile.

EGR is typically not employed at high loads because it would reduce peak power output. This is because it reduces the intake charge density. EGR is also omitted at idle (low-speed, zero load) because it would cause unstable combustion, resulting in rough idle. The EGR valve also cools the exhaust valves and makes them last far longer (a very important benefit under light cruise conditions).
Since the EGR system recirculates a portion of exhaust gases, over time the valve can become clogged with carbon deposits that prevent it from operating properly. Clogged EGR valves can sometimes be cleaned, but replacement is necessary if the valve is faulty.

sounds like you have bad plug wires, how did you test them, possible plug wires on wrong plug, need to check your firing order, check ignition coils also, also possible burnt valve if backfiring but bad wires or coils will cause also

New plugs and wires?

Double check to make sure that you've got the routing and firing order right... if you have 2 switched, the car may still idle well but then pop and sputter on harder acceleration.

The next step would be to run some "Complete Fuel System Cleaner"... If that's the problem, you should see results within 20 miles or so.

first you need to find out why the check engine light is on. Try a parts store and see if they will get the code from the computer that will tell you what sensor is bad. If you have not replaced an oxygen sensor by now that is probably what is wrong. If these are bad for too long you will damage the catalytic convertor and it will rattle when the engine is running. backfiring and no acceleration can come from the 02 sensor since this sets fuel delivery.

Sounds like fuel starvation. Would suggest cleaning any filters in the fuel line or replacing.
Also check the stop idle valve. This should be inline in the air intake pipe to the intake manifold..
Remove it and clean with WD40.Make sure you note the orientation of the spring.
To reset the ECU disconnect the battery for 5 minute the reconnect. The ECU should reset to factory settings. Make sure you know radio and alarm codes!
Try petrol additive STP or Redex to clean inside the engine.
Thats as far as my knowledge goes, hope it helps.