Any cooker burns the cat meat and turns it into "Burnt Bear Meat".  Can't use a campfire because it burns the cat meat and doesn't leave a slot for cooked meat, so it just stops the cooking process.

I am getting a similar issue, it is cooking the meat really fast and burning as well. Did you manager to resolve this?

Here is my 1.5/2x cooking speeds with 1.5x output on charcoal for furnaces. 
Also, it is not burning the new meats anymore. I added in the following things on the blacklist for that:

-"bigcatmeat.cooked"
-"snakemeat.cooked"
-"crocodilemeat.cooked"

Permissions are on false so you do not have to grant them to everyone. (Easier to just use the plugin for everyone :) ) 

{
"Use Permission": false,
"Speed Multipliers": {
"global": 1.0,
"furnace": 1.5,
"furnace.large": 1.5,
"electricfurnace_deployed": 1.75,
"refinery_small_deployed": 1.5,
"small_refinery_static": 1.5,
"fireplace.deployed": 1.5,
"campfire": 1.5,
"skull_fire_pit": 1.5,
"cursedcauldron.deployed": 1.5,
"bbq.deployed": 1.5,
"bbq.static": 1.5

},
"Fuel Usage Speed Multipliers": {
"global": 1.0,
"furnace.shortname": 1.0
},
"Fuel Usage Multipliers": {
"global": 1.0,
"furnace": 1.25,
"furnace.large": 1.25,
"electricfurnace_deployed": 1.5,
"refinery_small_deployed": 1.25,
"small_refinery_static": 1.25,
"fireplace.deployed": 1.25,
"campfire": 1.25,
"skull_fire_pit": 1.25,
"cursedcauldron.deployed": 1.25,
"bbq.deployed": 1.25,
"bbq.static": 1.25
},
"Output Multipliers": {
"global": {
"global": 1.0,
"charcoal": 1.5

},
"furnace.shortname": {
"item.shortname": 1.0
}
},
"Whitelist": {
"global": [
"item.shortname"
],
"furnace.shortname": [
"item.shortname"
]
},
"Blacklist": {
"global": [
"deermeat.cooked",
"horsemeat.cooked",
"humanmeat.cooked",
"meat.pork.cooked",
"wolfmeat.cooked",
"chicken.cooked",
"fish.cooked",
"bigcatmeat.cooked",
"snakemeat.cooked",
"crocodilemeat.cooked"
],
"bbq.deployed": [
"bearmeat.cooked",
"deermeat.cooked",
"horsemeat.cooked",
"humanmeat.cooked",
"meat.pork.cooked",
"wolfmeat.cooked",
"chicken.cooked",
"fish.cooked",
"bigcatmeat.cooked",
"snakemeat.cooked",
"crocodilemeat.cooked"
],
"campfire": [
"humanmeat.spoiled",
"wolfmeat.spoiled",
"bearmeat.cooked",
"deermeat.cooked",
"horsemeat.cooked",
"humanmeat.cooked",
"meat.pork.cooked",
"wolfmeat.cooked",
"chicken.cooked",
"fish.cooked",
"bigcatmeat.cooked",
"snakemeat.cooked",
"crocodilemeat.cooked"
],
"skull_fire_pit": [
"bearmeat.cooked",
"deermeat.cooked",
"horsemeat.cooked",
"humanmeat.cooked",
"meat.pork.cooked",
"wolfmeat.cooked",
"chicken.cooked",
"fish.cooked",
"bigcatmeat.cooked",
"snakemeat.cooked",
"crocodilemeat.cooked"
]
},
"Smelting Frequencies (Smelt items every N smelting ticks)": {
"global": 1,
"furnace.shortname": 1
},
"Debug": false
}