I also found out that earlier styles (mid 1700s) had the front "corner" not so pointed, sort of a less pronounced fold, whereas I understand in the later years the forward corner was folded to stick out more, like we see in Rev War paintings.
The back flap, which took a bit of liberty with, having seen similar examples in reenactor photos. I believe hats were cocked in various manners done to suit the taste of the owner in those days. It was done as much for function as anything else.
I will say unequivocally that I am NOT an expert. I suggest a bit of Google searching on authentic cocked hat styles.
This particular cap is my sons, and mine is similar except I think I will use a dark blue tape for folding the brim. I used the same black cotton tape for the trim on mine, but kind of wish I'd used a Navy blue instead, as it would look good with the brown wool felt. You can make your own cockade with tape or fabric, too. Plenty of advise on that available on the internet, or you can order one online.
I will say I enjoy the warms a felt wool cap like this provides on a cold day. They work!