Heat 1 T. butter and 1 T. oil in a skillet on high heat.
Add sea scallops and sear on both sides. Remove to a plate.
Heat the other 1 T. of oil and 1 T. butter and sear the shrimp. Remove to a plate.
In the same skillet, melt the butter and add the shallots/garlic until fragrant.
Slowly add cognac and let it simmer/reduce down a minute or 2.
Add broth, cream and cheese. Let sauce reduce.
Return seafood to pan and let heat through. Add broccolini a few mins.
Serve over pasta!