Giving Vinicius his best performance would be the best thing for him to show to all the fans. There is no need for any way to repay such a thing except with the best performance that can be shown. I hope Vinicius will appear in the best condition and score goals.
The award issue is over, indeed some fans think it is unfair. But Vinicius must focus on playing and giving his best to bring Madrid to victory. He is a great player and he must show his ability.
I am not entirely sure if we are going to end up with him being that great or anything else just because of the whole Ballon D'or thingy, as long as he is not mad and doesn't get a red card, he should be fine anyways. I mean think about it, right back isn't a place where City is too great right now, and because of that I am assuming that we are going to see Vinicious being good anyways, and he won't be really getting that much trouble playing great.
The only problem he could face right now is his anger, he may reject it and he may think that everyone in the world is out to get him, but as long as he keeps being angry and acts out, he is going to keep getting red cards and keep getting fined for it. If he fixes that, the sky is the limit for him.