I think it is delayed after battle report told me i hit Rep rank 4 but i could not buy Tier 2 ships since it had not updated right so i had to wait abit then it showed me at Rep 4 and allowed me to buy Tier 2.
In the first one after a battle shows the reputation that I had gained 711 and shows the total points 4237. In the second screenshot immediately after in the hangar the reputation shows 3526 that exactly 4237 - 711.
Conlusion: the reputation not was added. The same occured with XP.
The problem occur sometimes not always. I have noted that occur when you win a battle and complete some contract during the battle.