I replaces a bent push rod in my 1994 jeep grand cherokee and now its running rough and dies.

it will not start or will idle rough or just die ....need to check to see if have pressure in the fuel rail...also turn key on and see if you hear the pump run in the fuel tank

Many things will cause vibrations, especially on 4WD trucks. Causes include: worn ball joints, worn tie rod ends, bent wheels, tires out of balance/shifted belt in tire, worn steering dampener, worn u-joints, worn CV joints, engine problems such as engine misfire, a bad fuel injector clogged fuel filter or injectors, worn ignition parts, etc. I suggest you apply the service brake in gear and give it a lot of throttle (power-brake)to determine if the engine is running smoothly or if it runs rough. Also, with the hood up, you can see the shaking if it occurs. If rough, check everything over and repair as necessary. If smooth, start checking ALL other vehicle systems and repair as necessary.

Low fuel pressure.
You need to check the fuel pressure on the first crank and watch it as it is running.
Requires a special gauge.
If it were just a starting problem I would say it could be a pump relay, but not if it runs rough for 5 min.
Might be a dirty filter or problem in the tank.

Is the inside of the engine components have been you replace or check?

Restricted air flow. This would be the air filter or catalytic converter.

If you have no 'check engine' light, you will need a technician to diagnose it and I would recommend NOT driving it. If, for example, a rod cap has come loose, it will destroy the engine if it gets even looser.

It has this problem at Idle? If this problem is while the vehicle is moving but not at Idle or when you rev the motor check your A frame, Connecting Rods, Tie Rods and Ball joints. You also want to check to loose lug nuts or a bent rim. If it occurs when it sits at idle check the motor mounts and bushings and the transmission mounts and bushings.

I had the same problem , Come to find out it was the crank barring's and not the lifter's. Take one of the crank barring's off and feel the crank where the barring goes and if it's rough it's more in likely the crank and not the lifter's but if it's smooth put the crank barring back pull the valve cover's and there's the lifter's , pull the nut off the lifter's and pull the lifter rod's out roll them on a flate surface to see if there bent. Then go to a auto part's store and get the haynes manual it will tell you everything you need to know.

bad egr if it happens while pushing pedal will also cause a rough idle,if so plugs will have to changed for they are fouled out.going by your posting so if you have more info let me know,black smoke ect.
there are alot of things that cause this same issue.

My 2000 Grand Cherokee had the same problem, without all the sputtering, it would just die approaching a stop. We could only keep it running by slightly pushing down on the gas petal when coming to a stop. I replaced the Throttle Position Sensor, but that didn't change anything. A new mechanic I found replaced the Idle Air Control Valve, and we've had no problems in a week.