Cutting six ¾" MDF panels where the outside and inside cut patterns are identical will be tough.
Cutting those 6 pieces of MDF to the exact same outside dimension will be tough enough, but it probably can be done with a saw of some kind, but I doubt if jig saws work well with ¾" MDF. I personally would go to a Home Depot, Lowes, or a decent lumber yard where there's a large panel saw plus someone who knows how to use it. Get them to cut six panels that are 12" × 21". Take the time to figure out how many 12×21 panels you can get from one 4×8 sheet of MDF. Get more than six. You'll probably have to sand or use a router with a bearing bit to make them exactly the same outer dimensions.
The irregular inside cut pattern looks like it will require making a router template. In addition to a router, you'll need ¾" template collar bushing, plus a ¼" (or ½"?) spiral upcut bit. The collar bushing should work better for this than a bearing bit. The patterns you now have should be useful for the first step to make a router template.
See the PDF I attached for directions on how to flushmount an irregular shaped tweeter faceplate. Or see this:
https://www.reddit.com/r/diyaudio/comments/4ysmms/tutorial_ how_to_flushmount_irregular_shaped/
I say all this like I've done it before, but I haven't. I watched while someone else did it, so it looked deceptively easy
. I don't know how much router experience you have, but it's going to take practice. Be prepared for that idea with extra MDF or Masonite boards to use.