How do you execute the code without pressing the button?

I have no idea about that asset, but find the part where the button calls the method , then look at how the function is called.
Then, in the Update() function, use this:

if(Input.GetKeyUp(KeyCode.Enter)) {  // and/or KeyCode.Return  
  MethodThatWasCalledFromTheButton(parameterUsed);
  }