This isn't a traditional burger really, but I've made this a few times and it had always drawn praise from the masses. These are the proportions I used when I made them this past Sunday:
~11lb pork shoulder roast
2 poblano peppers
2 medium onions
seasoning - I use my bbq rub for this (and damn near everything else for that matter)
Debone the pork roast and cut into 1"x 1"x 6" strips
Cut onions and poblanos into large 2" chunks
combine in a bowl and season liberally, I didn't measure maybe a 1/3 cup or so? just dump that stuff in there
Run everything through the fine plate of the meat grinder and then mix by hand when complete to ensure a reasonable distribution of fat, veg, and seasoning.
Make into patties.
I use a tupperware hamburger press that I've had forever:

I use a 1/2 cup measuring cup to scoop the mixture into the press (this yields about a 5oz portion) and then give it a good smash and turn in out onto squares of wax paper so you can stack them if making a lot.
This yielded 39 patties of this size and I kept 24 out to cook that day and the rest went into the freezer.
I cooked them to medium-medium well on a gas grill, but I'm sure whatever method you would want to use would be just fine. I like these with Monterrey Jack cheese and sometimes bacon and/or a small dab of guacamole. We just use the "regular" size buns from the grocery store, they fit just about perfect on that size.
The first time I made these, my son said they needed a name since they weren't traditional beef burgers. We had just finished watching Guardians of the Galaxy Vol.2 and I decided to name them "Harbulary Burgers" and the name stuck.