I have taught 2 different women's groups about how to make fabric flowers. At both I taught Kanzashi Fabric Flowers (like HERE) and at one I also taught the Fabric Roses for home decor. At both classes I happened to be wearing a magnetic flower broach - a classic mirror shot:
So basically, you get a strip of fabric - I like to rip mine so there are frayed edges - tie a knot in one end, then just wrap the strip around the knot, giving a twist here and there as you go. Wrap til it's as big as you want it, then glue the end down and then glue the whole flower onto a circle piece of fabric/felt. You can even make the middle one strip of fabric and then wrap a different strip around the outside.
I like this type of fabric flower for headbands and broaches because they're flatter than the gathered fabric flowers. Anyways, super easy, just try it - and don't aim for perfection - each is unique and cute!
You can also use these type of flowers to make super-cute necklaces:
You can find that full tutorial here: Rolled Fabric Flower Necklace