This video is a good start. Generally, when you fly evasive, you want to do 2 things: avoid as much damage as possible AND allow your wingmates to do as much damage as possible. Both of those goals depend on each other.
The general strategy is to always try and give your opponent as small a window as possible to hit you and the best way to do that is to boost back through the "fur ball" of the fight. This requires your opponents to constantly have to adjust their vectors and aiming to line you up and track you AND allows your wingmates to better support you. In the video I linked, you can see Yamato jousting Falco constantly, because this is the person he is most worried about for damage output and the person he wants to kill too. By jousting, he gives Falco a small window to do damage before Yamato has passed him.
After Yamato's shields drop, he begins flying VERY erratically because all his internals are now exposed to railguns which is a rough position to be in. Compare this to OP's video where he just twirls around, not targeting anyone to check their positioning or making any attempt to react to the damage being done to him.
This is the difference between a low-skill pilot and a high-skill pilot. Yamato is the best in the game.