IndianaQ,Kansas City cut/trimmed is a method of trimming.
Kansas City Style or Bar-B-Q Cut (KC Cut - Colorado Style - South Side Cut)
a spare rib which has had the hard bone removed, and in some cases, the point squared.
KCMO cooking is usually thought of as a sweet rub,and sweeter/thicker red sauce.[This is a generic definition,and not intended for a long discussion over possible variations on the cut.]
Here is a web site that might prove useful.
http://www.adamsribs.org/about/pork.htmI'm not sure what "carolina" style ribs would be.
It is an area of whole hog,chopped,or pork shoulders,chopped.
Style Meat Sauce The skinny
North Carolina (Eastern) Whole hog, literally Vinegar-based, spiced with black pepper and chili flakes Of North Carolina's two styles, Eastern gets to hold the "original" title; the tradition traces various roots back to slave culture, early regional settlers and so on. Whatever you do, just don't talk about tomatoes.
North Carolina (Western) Pork shoulder (butt) Vinegar- and ketchup-based Occasionally known as "Lexington-style." The meat ends up much the same as in the east, shredded or chopped up, but usually comes from a much smaller hunk of animal. And of course, to western-style fans ketchup adds an essential flavor component.
Sauces range from vinegar,to red sauce,to occasional mustard -down south.
South Carolina Usually pork Mustard-based, though variants can be found in some corners When it comes to sauce, some residents share BBQ styles with their northern neighbors –- invoking vinegar- and ketchup-based preparations. But the mustard method is a Palmetto State classic