Engine misfiring and jerking?

I took my car back to the mechanic who claimed my car was jerking on acceleration due to poor gas, when I got it from him I did not drove much so I could not tell if the car was fixed. I drove the car the next day and the jerking was still there. I am taking it back one more time and if not corrected I will go to a Toyota repair shop.
I am not a mechanic but work in it and know that if a problem pops up after working on a computer, it might be due to the last thing done on the computer.

Most time when am on speed the car just cease movement and when I try to accelerate it jerks.
Please what could be the problem and second while am on top speed the two front Tyre tend shake what could be the cause

How to find a misfire when you have no OB2 codes showing?

I tried that and they all dropped but still misfiring.

Car runs perfect until it warms up then start misfiring, plus code reader said it is ready for inspection.

I will try that. Thanks!

I fitted new plugs new leads new injectors new inlet manifold gasket. There is no warning lights on dash. When I bridged TE1 AND E1 engine light flashes continuously. Thanks.

Hi, I have a 1996 Corolla having misfire issues. I have been changing parts hunting for the fix and no luck so far. Changed EGR, IAT sensor, Plugs, wires, cap+rotor, Igniton coil, Distributor, fuel filter and still having issues. Car actually threw several codes coming home from work for random misfires before I did coil/distributor.
When the weather was colder, the car wouldnt misfire until 20 minutes of highway driving. Now with the new parts and temp outside being alot warmer, the car acts up within a block or two. Gonna start removing fuel pump next. Any other opinions would be great.

Fuel pump did not fix my problem. May have to have injectors serviced. Could a clogged Cat converter cause this? Maybe too much back pressure causing issues?

Car was starting to misfire on occasion so I brought it to the mechanic. I now have new fuel filter, spark plugs, wires, distributor cap, rotor and coil. EGR was checked and seemed ok. Wires and cap were double checked for defects. The misfiring now is as bad, if not worse than before I brought it in. The misfiring can occur in any cylinder. Mechanic has checked wiring from fuse box to ignition and remains stumped Any suggestions as to what he needs to check for next?

Having checked and rechecked for air leaks and al, the mechanic was relectant to suggest what to focus on next. So I decided to buy a used distributor and substitute with existing one. Lo and behold the misfiring completly vanished. Now we will re-examine the distributor to see exactly what was responsible (ignitor, pick up coil or whatever) The opinion offered to my original query is in fact responsible for resolving the issue. Thank you!