Year, make, model, engine, 8th character of VIN, what's been done to the vehicle as far as repairs, SES light on? What DTC's are stored? We need more information to help you.
Induction, (backfire through the intake), can be caused by incorrect valve timing, incorrect ignition timing, excessively lean fuel mixture, or incorrect secondary ignition wiring. Check the easy stuff first: ignition timing, plug wires correctly in the distributor cap, (firing order), and fuel pressure.
Behind the carpet, under the glove box, next to the firewall, there is a single wire with a connector, unplug it and check ignition timing with a timing light. Sticker under the hood should give the spec.