Can alfredo pasta be made in mixed sauce?

While there is hardly any reference to "Alfredo sauce" in Italy, there are plenty of pasta condiments that are based on a combination of butter and cheese. Whether it is true or not, lore has it that in the early 1900s, a Roman restaurateur, popular with American tourists, named his fettuccine dressed with butter and parmigiano reggiano after himself. The name was taken to America.

So, Italians would not call this "Alfredo".

You can certainly create red or white pasta condiments that contain cheese. What you call it probably depends on how "authentic" you would like to be, and in whose authenticity you are interested.

Alfredo sauce is a specific white sauce made with cream, butter and Parmesan cheese. Alfredo pasta is a pasta that has alfredo sauce on it specifically. There are other white sauces that aren't alfredo sauces which have other ingredients like white wine, chicken/seafood stock, with or without cheese but these would have different names. There is no such thing as a red alfredo sauce.

You can mix an alfredo and tomato based sauce, the combination can be delicious. I make a 'lazy lasagne' with pasta spirals, bolognese sauce and alfredo sauce, baked with a crispy top. I layer the sauces rather than mixing them together.