If gasoline is burned with the H2O2 then what can be the final product? Is H2O2 will work as a catalyst in burning process?

H2O2 is an oxidant and will burn the gasoline, just like O2 would do, except that more water will be produced.

Yes but if I use H2O2 in the burning process of the gasoline then what can be the results??

I don't quite understand your question...

In excess of H2O2, you'll have only carbon dioxide and water formed.

This is an interesting question to speculate about. My first reaction was that you really couldn't burn gasoline with H2O2. They would not be miscible and at flame temperatures the peroxide would decompose, Rockets are propelled with H2O2 - those backpack units that you sometimes see flying into a stadium are propelled by the steam/H2 gasses produced by the catalytic decomposition of H2O2. Torpedoes are propelled in the same way. The decomposition reaction is HOT, HOT, HOT!
If you injected vaporised gasoline into this mixture of H2O/O2 you might have enough oxygen to support combustion - assuming the solution of H2O2 was not too dilute to begin with. Air is only 20% O2 and it works pretty well. Who knows?
The H2O2 will NOT act as a catalyst. Combustion is a free radical reaction and can't be catalysed, only initiated or inhibited.

My question is straight forward. Let me make it simple to understand.
I am trying to make a system that can observe the outlet gases (co and no2) which are produced due to the incomplete combustion or unburnt part of the fuel. If H2O2 can increase the oxygen level in the combustion the amount of unburnt fuel can be decrease or not? If it is possible then we can lower the air pollution occur due to these gases.

An interesting thought.
Your engine can be tuned to have a richer or leaner fuel/air mixture which is the most straightforward way to alter these by-products in the exhaust. This has been well studied in the efforts to raise fuel economy and lower air pollution so you might want to read up on some of the available literature. Cars are one place you don't want to re-invent the wheel!
Note the by-products you cite: CO comes from too little oxygen and NOx comes from too much. Which problem would H2O2 solve? Try it yourself - that's how great inventions are made. Good luck to you.