In a large deep skillet or medium-sized pot, melt the butter.
Add the garlic to the melted butter and saute for 1-2 minutes or until fragrant. Be careful not to brown or burn the garlic.
Add in your rosemary, wine and chicken broth. Stir until combined.
Whisk in the tomato paste until incorporated.
Season sauce with salt & pepper, taste and adjust for your preference, if you enjoy spicy dishes add in some red/Cayenne pepper.
Bring sauce to a simmer, remove from heat.
Slice Andouille into rounds about 1/8 of an inch thick.
Heat enough oil in a sauté pan to just barely cover the bottom and sauté your sausage just until it gets some delicious color (it's already cooked, so you just want it to get a little brown in color which gives it great texture and flavor).
Place pieces into your sauce as they finish browning.
Season the shrimp with your Cajun seasoning. Decide if you want to be heavy handed and dredge your shrimp in it (like I do) or just a few shakes per shrimp. It comes down to your preference for heat/spice. Season and cook your shrimp in batches.
Heat oil in a sauté pan, just enough to cover the bottom and sauté your shrimp until it turns pink and is almost cooked through. If you seasoned your shrimp heavily, back away from the stove a bit, you may be coughing a just bit as it cooks (so worth it!!).
Place shrimp into your sauce as they finish cooking, repeat until all shrimp are all cooked.
Brink your skillet/pot full of sauce, shrimp and sausage just to a simmer. Taste and adjust your sauce. If the seasoning from the shrimp didn't spice your sauce they way you would enjoy, add some additional Cajun seasoning or red/Cayenne pepper.
If you are adding avocado chunks, season them with a bit of cajun seasoning or salt and pepper and add to the mixture shortly before serving. If you are adding black beans, drain & rinse them and then add to the pot.
Spritz the sauce with the juice of half a lime, stir and enjoy once it is heated through.
You can make the sauce a day ahead if you choose.
Enjoy this on its own, with crusty bread or serve over rice or pasta.