You need to have a UserSetting.ini that has saved the event awards. If you have that file and it has saved the event awards, then you can transfer that file to any computer. So, when you back up your saves, tray, and mods make sure to include the UserSetting.ini. Also, make sure that you have your backup off your computer (so that you don't lose it like I did.) It can be backed to the Cloud (such as with OneDrive, although I don't recommend that), another computer, or a flash drive (or any other type of off-computer drive.)
The reason I don't recommend backing a Sims game to OneDrive is that if you change something (such as updating your mods because they have broken), OneDrive tends to put back the old outdated information (that you replaced) because it thinks it was done in error. I've seen several Sims players complain that it messed up their game and how difficult it was to fix it.