Credit also goes to shilbo assassin and Kamelbarn.
The awards are not actually possible to get until season three and four, so no matter how many goals and assists that you rack up, it will be season three and four before they they are not 'fixed'. To get these awards you need the highest average rating in the season. To do this play in easy and score as many goals as possible and also try to top the assists chart.
It takes until Year 3 to win the European Player of the Year Award no matter how many goals and assists you get.
It takes until Year 4 to win the World of the Year Award no matter how many goals and assists you get.
It seems that winning both awards in the same season will not happen, so you will need to play two seasons WITHOUT a simmed game. shilbo states in his achievement guide from x360a that he did two CONSECUTIVE seasons, but according to Kamelbarn (see comments), you can play ANY two seasons.
shilbo assassin says: I can confirm this as I experimented and simmed the last three games and got no award at all. I then went back to the game save before the simmed games played the games and got the Euro Award but no World Award. DO NOT SIM if you want this achievement.