OK, now can someone tell me what exact moves do I need to make in my Vulture to get those effects?
Redouts are caused by negative G's which mean that you "dive" or go down (in space of course, this is fully relative to your ship orientation only, no other factors).
Blackouts (technically greyouts until you pass out fully) are caused by positive G's which mean you "climb" or go up (again, relative to your own ship only).
The thing that actually causes them is blood rushing into (redout) or out of (greyout) the brain. The way to understand it is you are doing a loop with your ship. Now as with a ball on a string being spun around, stuff wants to fly out of the loop, and continue moving straight, and is only restrained by whatever acts to hold it on place, in the ball example, the string tied to it. In the ship, we are concerned with your blood, and your body. If you do a loop pulling "up" your brain is on the inside of the loop, and the blood wants to get the hell out of there, so it pools in the arms, legs, and body, so there is less left for the brain, causing a decrease in function thanks to hypoxia, causing a greyout, and eventually, blackout. In a loop going "down" your brain is on the outside of the loop. This means that blood is forced into it, and this can cause reddening of the vision, and also worse things at serious -g's, like your eyes bursting, or stroke.
We have the capability today of reducing the effects of greyout by using an Anti G-suit, which is essentially a suit that has valves that let the plane inflate bladders in the suit in proportion to the G's experienced, which does not allow as much blood to pool in the extremities (in addition to the pilots using their own body to fight the G's, by tensing up), meaning there is more blood to keep the brain oxygenated, resulting in better tolerance of G-forces. There is no such system for preventing redout, however, as it's kind of hard to crush the pilot's skull to force blood out without murdering them.
So in your vulture, full pips to A engines, and do a "dive" loop to get a redout (which is easier) and then do a "climb" loop to get a greyout (which might be beyond the ship's capabilities with the raised limits as mentioned by the dev earlier in the thread).