I've used wonton wrappers. You either make rather large ravioli or cut off a fair amount of the dough. I put down one wrapper, put a glop of filling in the center, wet the edges, put another wrapper on top, then press the edges together. I use a ravioli cutter to trim the edges, which also finishes sealing them. You could also fold over single wrappers, I guess, and have triangular ravioli.
When you say "lasagna sheets," are you talking about fresh pasta? I've never seen lasagna sold as anything but dried.
I've never made a meat filling, just ricotta-spinach.
This, of course, gives me an excuse to repost Italian-Swiss grandmother's ravioli recipe, for which she was justifiably famous. It was transcribed from my handwritten copy. Enjoy.
Dough for Raviolas
1 sifter full of flour
4 eggs
salt
That's it. No other instructions.
The filling
Raviolas
2 chickens (broilers) use all soft meat
50¢ veal roast (cooked) [Many years later another old Italian lady told me that meant a half pound]
2 sets brains
3 lb. spinach
1 cup sausage meat
2 or 3 eggs
3 or 4 slices of bread (soaked in milk) squeeze dry
salt & pepper and other spices if desired
Rosemary, parsley, onions, garlic and a little cinnamon.
That's it. No other instructions.
Sauce [at least this has some instructions]
1 lb. lean beef (ground). Fry in butter, add 1 chopped onion, and fry slowly. Add dry mushrooms, cut fine. Add 2 quarts canned tomatoes [these would have been home canned by her], pepper & salt, garlic. Cook.