Preheat oven to 350 degrees F.
Place wine in a small saucepan and heat until steaming. Remove from the heat, add dried mushrooms and let stand while you prepare the vegetables.
If using carrots, cut into 3-inch pieces. If using parsnips, quarter lengthwise and remove the woody core, then cut into 3-inch pieces. Cut any round roots (beets, turnips, rutabaga and/or celeriac) into 1-inch-wide wedges. Place the roots, white mushrooms and onions in a large (12-by-15-inch) roasting pan.
Line a sieve with cheesecloth or a coffee filter and place over a measuring cup or small bowl. Strain the wine-mushroom mixture through the sieve, reserving the wine. Coarsely chop the mushrooms and whisk them into the wine along with thyme, tomato paste, salt and pepper. Pour over the vegetables; add broth and bay leaves. Cover the roasting pan with foil.
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