* Bent or broken valves: This is the most common consequence.
* Damaged pistons: The force of the collision can damage or even crack pistons.
* Damaged cylinder head: The impact can crack or warp the cylinder head.
* Damaged crankshaft: In severe cases, the crankshaft can be damaged.
The "missing" engine performance you describe is a strong indicator of significant internal damage. It's unlikely the engine will run smoothly, if at all, without repairs.
You absolutely should NOT attempt to start the engine again. Further damage is almost guaranteed.
You'll need a thorough inspection by a mechanic to determine the extent of the damage. They'll likely need to remove the cylinder head to assess the condition of the valves, pistons, and cylinder head itself. The repair could range from relatively minor (replacing the guide and some valves) to a complete engine rebuild or even replacement. The cost will depend on the extent of the damage.