A series of fast laps pulled both riders onto the tail of Sykes, but they were eventually beaten by the clock as they crossed the finish line in close contention, but unable to do anything about passing.
Michael Rutter endured a lonely fifth place, but two strong top ten finishes have helped him move comfortably ahead of James Ellison to sixth in the standings, much to his obvious delight.
Simon Andrews put his injuries behind him to claim a promising sixth too, although he was able to take advantage of Karl Harris who was running in that position for much of the early part of the race before slipping down the order as the legacy of the hand injury he sustained in the first race began to make its presence felt.
Others to benefit were Atsushi Watanabe in a fine seventh place, Scott Smart in eighth, and Michael Laverty in ninth, all of which finished ahead of tenth place Harris.
Further back, Cal Crutchlow scored three precious points after getting back on track following his fall, but his disappointing day means he has dropped to fourth behind Sykes and Haslam in the standings.
Byrne, meanwhile, continues to lead the way on 110 points and he heads to Croft with the chance to wrap up the title two rounds early.
His advantage is now over Sykes, while Haslam is just five further points adrift. Crutchlow remains in touch though, 18 points behind Sykes, with just three rounds remaining at Croft, Silverstone and Brands Hatch.