Those are simple to make, I've done a couple simple flatbows like that.
No fancy jigs or forms -- a simple straight piece of 2x2 or 2x4, and bicycle innertube rubber bands hold things together while the Smooth-On dries. Simple tapers, no handle unless you want a leather wrap or something.
Here's a poor picture of one I did a few years back, in the style of a Warring States (Chinese) flatbow from about 2500 years ago:
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The 2x2 next to it is the form I used, and I spiral wrapped the glue up with bicycle rubber bands rather than spending time drilling and tapping in wooden dowels for the bands to hook on. It worked by not well -- I needed about 3 more hands!
This bow is 56" t-t-t with a 5" "handle" cut in to 1" wide; st the "fade" the limbs are 15" wide and taper to 1/2" wide at the nocks. It weighs in at 58# with a .35 total stack (wood and glass). To make an identical bow with 45# draw you would want to use a .32 total stack.