That's what I was gonna recommend.
Other than that, nothing you can really do.
Remember when you press the gas to a certain level, the trans will shift to a lower gear. That's what happened when you came out of the turn.
Going into the turn, you were on the brakes and had to slow the car down, thus, no need to downshift.
The only other thing I can think of is if you modified your suspension so you'll be able to take turns faster and more aggressively