Ok, I will make sure I admit first that I did this this weekend because I was trying to get my deed and some people were trying to prevent it from happening so I hopped to a team that had dueling to get more honour.
Anyways......
Training trophies and energy trophies to get the benefit of it, you must be in the team when the server changes and use them all before you leave the team.
Courage and duelling you can jump into a gang and have the benefit of them instantly.
Some players are getting the best of all trophies. They have 5 training trophies, use them, hop out and join a team for the rest of the day taking advantage of the dueling rewards. These 2 trophies need to be locked the same way. You only can receive the benefit of ALL or ANY trophies by being in the team that has them upon server change. If you leave the team, you lose the trophy benefit.