Check the injector pump and the fuel pump. If they are working and free of clogs, check the fuel lines. They rarely have a problem, but it's a good idea to inspect them anyway. Also make sure the fuel filter is allowing the fuel to flow.
Are you getting power to the system?
I never heard of any fuel injectors getting damaged from running out of gas.
Clean / replace fuel injectors.
you may have bad injectors, or not enough fuel pressure
Injectors are clogged
The fuel does not go to the throttle body it goes to the fuel injectors.
Turn down the fuel getting to the injectors.
When all fuel injectors are stuck open, this generally means that the injectors are not getting the right voltage. You will need to not only check the voltage, but make sure the injectors are receiving the right signal.
If it has a carburator it cannot have injectors. If it has injectors it cannot have a carburator. Take the throttle body apart and clean it very well with carburator cleaner.
If the starter is turning over on the 1989 Honda Civic but the engine is not getting gas, the problem is more likely the fuel pump than the injectors. Clogged injectors might cause difficult starts but a damaged fuel pump will cause the vehicle to receive no fuel at all.
Bad fuel pump, clogged or broken fuel lines, or if it is fuel injected it could be bad fuel injectors.
A clogged fuel filter, bad fuel pump or the fuel line is blocked/damaged. What about a fuel relay fuse?