I think these items are shapes to make yarn flowers and a kind of lace for which I can not find the name.
This search results page (link to pinterest search results) shows a series of different shapes which each have a set of pins sticking up or out for string to be wound around, going from a stick over the middle of the shape, and then to one on the other side of the shape, forming a flower shape which has all yarn crossing in the middle. That middle is next sewn together, so the flower gets structure.
When used for that lace method there can be more creative winding and a lot more 'sewing' or embroidery over the yarn.
Your templates are up-side-down in the picture, you would work on the flat side.
The system in these templates seems to allow to retract the 'sticking out' pins.