Aveo 2006 has an Engine light ON and Car is shaking when trying accelerate. Car is not been able to pick up the speed with putting full pressure on the accelerator.

Many things can contribute to low fuel economy, tire pressure, driving style, milage, and state of the servicing.
What sort of milage does the car have?
Has it had a tune up recently?
Air filter condition?
Fuel filter condition?
Transmission service if milage dictates?

The reasons are follows:
- Contaminated fuel.
- Knock sensor poor performance.
- Check exhaust system. If clogged, remove or replace the honey comb porcelain.
- Check ignition timing with scan tool at idle speed. (5 - 8 degrees BTDC).
- Check engine oil level. If the oil level is low, it may be one of the reasons for knocking, because oil may be burning during the combustion.
- Check fuel pump pressure. ( 41 - 49 psi).
- Remove negative battery terminal for 5 Sec or more. Reconnect the terminal. Close all doors, remove all electrical loads like room light, parking lights, blower motor etc. Start the engine and hold the throttle at 3000 rpm till the radiator fan becomes on to complete the idle speed relearn process. Release accelerator pedal after the radiator fan becomes on, and let it idle for 7 min more.
- Switch off the engine for 3 sec and you can then start and drive the car comfortably.
Hope that works.

what did they fix on it

check fuel pressure , pump and filter

Could be a misfire in one of the cylinders try changing your spark plugs

sounds like the fuel pressure regulator but first try new fuel filter and maybe clean spark plugs and reset them

You're not getting enough fuel. You should check your fuel pressure. If you have enough fuel pressure, your injectors are probably clogged up. Run a lot of fuel cleaner through your tank when you put gas in and see if it makes any difference. Lucas fuel treatment is the best to use.

I hate to be negative but there is not a big aftermarket for your car, try googling it, if you get nothing chevy may be the way to go.

im not sayin shiit ******** you want to charge for your little ******** not sure remedy ********........i fixed it...

Could be any number of things, lets eliminate the transmission. Put the car in park and throttle the engine, is it snappy then? Or does it slowly rev up? If it still runs funny or isn't snappy, the tranny is not the problem. So it could be, weak fuel pump, fuel pressure regulator, or a ditributor problem. Could be a sensor to, but I've had 4 corollas and have never had a MAF sensor or others go out yet. I have had problems with the items I listed.