Can we see your calculation and reasoning or did you make the numbers up?
Normal Tesla Model S curb weight is 2108 kg according to Wikipedia. Extra 90 kg is 4.2% mass increase => 4.2% more kinetic energy at the same speed => more energy consumption to accelerate. It also means, that the same force applied to the heavier Model S will accelerate it slower (a = F/m).
I'm still skeptical about the actual energy usage. If the % more kinetic energy applies equally to battery energy usage.