What are the differences between TDI and TFSI engines in the Audi A2?

I am considering buying an Audi A2 but I am not familiar with the different engine options. Can someone explain the main differences between TDI and TFSI engines and how they affect the overall performance of the car?

The main difference between TDI and TFSI engines in the Audi A2 is the type of fuel injection used. TDI engines use direct injection of diesel fuel, while TFSI engines use direct injection of gasoline. TDI engines are known for their high efficiency and torque, while TFSI engines offer a more responsive and powerful driving experience.