I will have to guess you are referring to your throttle, the cheap ones are all like this, Domino or Magura generally considered to be better, compatability with your controller is not guaranteed
It is NOT, SFAIK, an issue with controller programming.
Now, IF you are talking about pedals, and not a throttle, which is NOT AT ALL clear, then SOME controllers have a setting for this, however rapid start from pedal input such as you are describing is generally considered dangerous and unsafe. How many times when stopped have you moved the pedals slightly, close to traffic where moving forward would be a BAD idea?