Unsure of my rebuilt tranny behavior in sport mode

[gelafont]

Can anyone please tell me the behavior with the E53 (X5 4.4) RPM when switched to Sport (S) mode. I recently had my tranny rebuilt, i'm not sure if it is me or this is normal when i now switched to sport mode, i noticed the rpm did not change nor rpm went up (drop in gear) and stayed at same rpm as regular mode. However, despite the no change of the rpm in sport mode, if remained on sport (S), and accelerated, it held the gear longer over the 3k rpm mark before changing. At normal (D) drive, it changed respectively at 2.5 rpm.
So, is this a normal behavior response of the tranny that the rpm does not really change when switched to sport mode (S) and it is only when accelerated it would hold or delay rpm to a higher rev. Or rpm should immediately go higher every single time when switched to (S) sport. thx all for any help.