When the transmission is shifted into drive the engine shuts off?

When I start the engine, it idles okay and seems to be running fine, but then when I rev the motor there seems to be a half second or one second delay to when the engine responds. Then, when I put it in Drive to take off it just Shuts off. And this does this over and over. I've replaced the throttle positioning sensor the alternator is tested good I removed the throttle body cleaned it thoroughly looked at all filters all fluids are fine, but I'm baffled.