Yea, you have said the fact because Galatasaray have been taking the game more seriously in the second half than the first have because they have already gotten their second goal, and it seems like they will not take it easy on young boys any more. Moreover, their performance is not even the same because Galatasaray will definitely want to win the game even though they are playing an away game, but they will have to focus more to achieve the win.
Although the game is now in a draw and it has started to be interesting, and I have the game end as a win for Galatasaray because I see the potential of winning in them today, the manner in which they are playing in the second half is just amazing to me.
Galatasaray may have had dominance of the game and shown an incredible performance in the second half, but, well; they had to lose 2-3 against Young Boys. The red card received by Galatasaray was an actual disadvantage and that changed everything in the competition. They were indeed going to win it, but, ah well, everything changed afterward.
The red card itself, which led to a penalty for Young Boys, was what really changed everything. At one moment all momentum was with the opponent and Galatasaray had lost control of the game they managed to hold. The penalty converted he scores for Young Boys. It turned out to be very vital as far as swaying the score in favor of Young Boys is concerned. Being one man less, Galatasaray had to survive in a difficult situation and eventually accept a bitter defeat. This typifies how much such moments can be pivotal in a game, where one call can determine the final result.