Sykes' team-mate Jonathan Rea finished both races right behind him in third place and Sykes acknowledges that it was a tight affair between the two of them.
"Jonathan and I had a great battle for the entire first race. I had plus zero on my pit board, so I just had to manage the situation.
"I felt the rear tyre drop and had to compensate in some areas, trying to do some things slightly differently. It was not ideal but overall I am happy with second position considering the circumstances.
The British rider added that he felt that the risks that Davies took paid off particularly in Race 2 creating a gap which the Kawasaki duo could not close.
"We made two small changes for race two and it was strange because at the beginning I felt I had a really good bike set-up but in the rain Chaz took a couple of more risks.
"It paid off because he made a big gap and I think that was probably the deciding factor in the race. We had a couple of warnings and I was just not able to stick with Chaz.
"Overall, I am fairly satisfied but we were just not close enough. Two second places are acceptable but another rider took the prizes this weekend," he added.
In the WSBK Standings, Jonathan Rea leads convincingly with 407 points followed by team-mate Sykes on 282 points with Davies third on 263 points with four races left in the season.