Did the valves bend on my 2002 elantra 2.0 engine when the belt broke? Or is it ok to replace the belt without any worry

Hyundai engines are interference engines so you will have valve damage. before you attempt to do the job get yourself a workshop manual as these engines do not have torque settings but use degrees on an angle setting for the head studs. The manual will explain the timing mark settings and all the details you will need.

Yes, it is listed as an interference engine.

If the timing belt keeps breaking and bending valves, the timing belt and cylinder head repair is not being done correctly. It's as simple as that. Are you changing the tensioner and idler pullies when replacing the belt? Is it timed correctly? Was the timing belt tension adjusted properly? Were the cam journals checked for damage? If not, you are asking for another belt failure.

If you want to know why the check engine light is coming on, you will have to ask your engine computer. Every time the light comes on it is storing a fault code to tell you why. You must scan your engine control module to retrieve the fault code(s) so you can get it properly diagnosed and repaired.

This is not an interference engine and braking timing belt will not bend valves.

This engine has been identified as an interference engine in which the possibility of valve to piston damage in the event of timing belt failure is most likely to occur, when repairing I would also replace water pump, due to pump is timing belt driven. On an 2002 VW Jetta TDI 1.9L engine, VW recommends timing belt replacement every 80,000 miles.

if the timing chain went on you while driving, you most certainly ruined your engine.
have a mechanic troubleshoot.

the best thing about that engine is you have a 90% chance that nothing happen put a belt on it i bet it will run

what is the liter size of your engine? the 1.8L is an interference engine. generally all Audi engines are interference engines, and timing belt breakage can bend valves, the sure way to determine without detailed maintenance information, install a new belt, once the belt is on immediately run a compression test, if timing marks are good and compression fails, valves are bent.

Daewoo engines bend valves when the belt fails ,confirm this with a cylinder leakage test.
Here is a picture of the timing for a 16 valve engine

I believe these are interference engines. But it may still be okay. A leak down test can tell if a valve is definitely bent or not without having to replace the belt first.