This is what I am now using. I need to set the speed up to 10,000 just to get the fruit to move off the screen in under 2 seconds. I have pinned an object to my Game layout and set the paralax to 0,0 I can see it scrolling along with me. But the Fruit still try to go to 0,0 of the entire layout.
<img src="http://img21.imageshack.us/img21/6581/quhh.png" border="0" />
https://www.dropbox.com/s/fslf5xkj8b5iwr0/FruitMovement.capx
Unfortunately, I use an older version of Construct 2 so can't view your capx. I would suggest perhaps posting screenshots of the relevent code, rather than your entire game though. Unless you don't mind sharing your code of course.
Where is it that you want it to go exactly?
I haven't used custom movement myself. but once it reaches sprite.x, sprite.y, shouldn't you set the acceleration to zero?
You could do this by creating a new event to check when the object is at position sprite.x, sprite.y, or when the object has collided with the sprite object, then set acceleration to 0. Or disable the custom movement entirely.