Modric has scored in each of his four seasons at Real Madrid
Watch the Croatian midfielder's goals for the Whites.
The right back was presented with the Golden Boot and the midfielder got a special mention during the 27th edition of the Gala.
The ideal line-up will be announced on 11 January 2016 at the Ballon d'Or Gala.
"He was the manager chosen for his professionalism, for his trajectory and for his experience", stated the president.
The pair linked up for Real Madrid's first and fourth goals against Shakhtar.
Ronaldo, Bale, James and Ramos are among the 40 nominated players.
The Whites wasted a 10-point lead towards the end of the game after overcoming a 12-point deficit in the third quarter.
Image of a boy and his father at a station in Bavaria, Germany.