No, I'm going to be blunt: your technique is broken.
The gearbox noise is because you're not matching the revs. You have to blip the throttle yourself to bring the rpm up to where it should be for the current roadspeed and intended next gear. In English it's often called heel-toe technique, heel-toeing etc. but that's not the only way to achieve it.
Watch this, notice he also overlaps the braking and throttle using the same technique, so there's no need to left-foot brake on the way into a corner. Here's an explanation of the physics, in English; I'm sure you could find something in Bulgarian somewhere, now you've seen what I'm talking about.
A simple test: roll along at a medium engine speed in a gear other than first (not reverse, either...). Put the clutch in, deselect the gear (into neutral), tap the throttle pedal ("blip") and then select the next gear down (don't do it simultaneously, as the game's throttle check will disallow the selection - sometimes I select the gear first, then blip, but that's technically wrong), finally release the clutch again.
That's very roughly what you need to be doing every time you change down, no matter what else you're doing with the car - start slow, build it up. The benefit is that the drag torque from the engine and road speed mismatch is minimised, so it doesn't try to lock up the driven wheels - in RWD cars, that contributes to stability when braking and downshifting, especially into corners; for FWD cars, that drag torque causes understeer. Diff settings play a part here, but I think it's better to have the techniques should you find your tune isn't up to the job.
The throttle bar does blip in sequential mode. Which is my point. You're not in sequential mode if you're using the H-shifter and dip the clutch; that blip must now be manually performed, as the game will stop doing it for you.
Incidentally, all this time you've been so sanctimonious about practically everything around this game, and you don't even know the basics? I mean, that's up to you, but it's a little disappointing. "Gear change sounds" indeed.
I'm sorry you wasted so much time writing a totally irrelevant post.
1. I damn well know what heel-toe is and this has nothing to do with the missing sound.
2. The throttle bar DOES NOT raise at all when downshifting. Have you even played the game? The game has no system that gives gas while downshifting.
3. I am not going to explain physics to you, but quickly put the momentum of the car makes the engine rev up when you switch to a lower gear until the rotational velocities of the engine and gearbox match. If there is a blip in the whine sound why there wouldn't be any from the engine?