smoke doesn't come unless your tires are getting hot.
when its hot, its all about how heavy your right foot is, just floor your throttle to the max, you can enter the corner gracefully, while you've passed the apex, just floor it all the way to the exit, leaving trail of smoke.
sometimes the rev bouncing off the redline doesn't create much smoke either, if you shift up one gear you might produce greater wheel spin.
more wheel spin = more smoke.
sometimes when you drift, it doesn't necessary means that your rear tires are spinning though (depends on how you drive), so pay attention to that if you wanna produce smokey slides.