Hi Joshish,
The Turbo will improve and begin to kick in a lot smoother as the engine runs in.
Please take note of the 'running in' procedure in the manual.
Dont go over certain amount of revs and dont go over 70 mph for around first 1500 miles. Taking it easy early on also helps to bed in the new brakes.. you dont want to score the discs
My 1.6 115 got a lot better after around 2000 miles.
Im sure your not thrashing it but you dont want to doing that with a new engine. If your giving it too much the turbo may not be there just yet.
Could be a fault but see it how it goes