Preheat oven to 425 degrees.
Rinse cabbage and beet greens and separate the leaves. Slice the leaves into strips.
In a small bowl, stir together breadcrumbs, parmesan, melted butter, salt and pepper.
Toss cubed butternut squash in 1 tbsp olive oil with sage, thyme, rosemary, salt and pepper. Place on a baking sheet. Roast about 10- 15 minutes or until the squash is tender.
While squash is roasting, heat one tablespoon olive oil in a medium pan. When the oil begins to shimmer, add shallot until soft and translucent, about 3 minutes. Add the garlic and cook for 30 seconds more or until fragrant.
To the pan add the cabbage and beet greens and cook another 3 minutes or until the leaves begin to soften and slightly wilt. Season with salt and pepper.
Remove from heat. Stir in parmesan cheese, heavy cream and roasted butternut squash.
Transfer mixture to a greased baking dish and spread in an even layer. Sprinkle breadcrumb mixture over the vegetables. Cover with foil. Bake 5-7 minutes.
Take foil off and bake another 5 - 7 minutes, until cheese is bubbling and the breadcrumb topping is crispy and begins to brown.