Cook mushrooms in 1 1/2 C of the chicken broth and port for 20 minutes. Drain, reserving broth.
Mince mushrooms in food processor.
Saute 1/2 shallots and 1/2 garlic in 2 T oil until wilted. Add mushrooms and saute 2 minutes. Add 1/4 C mushroom stock. Add 1 T parsley and 1/2 T sage. Salt and pepper to taste. Cook another minute to let stock absorb.
Lay out 20 wonton skins on a dry surface (a clean counter or chopping block is fine). Put 1 T mushroom mixture in the center of each wonton. Paint edges of each wonton with egg white. Put another wonton on top and press to seal. Cut excess skin off each ravioli with a pizza cutter. Press edges to tighten seal. Let dry for 20 minutes.
In a sauce pan, melt 1 T butter and 1 T oil. Saute shallots and garlic until wilted, about 2 minutes. Add remaining mushroom broth and reduce by half.
Cook raviolis for 3 to 4 minutes, until al dente.
While raviolis are cooking, finish sauce.
Stir 1 T butter into sauce until melted. Stir in cream, alternating with chicken stock and sprinklings of cheese. Adjust sauce to keep from being too thick. Just before serving, add remaining parsley and sage and salt and pepper to taste.
Plate the ravioli and drizzle sauce over it. Add additional cheese, if desired.