In 1-quart saucepan heat oil; add onion and garlic and saute until onion is translucent. Add mushrooms and saute over high heat until mushrooms exude liquid, about 2 minutes; add juice and bring to a boil. Cook until sauce is slightly thickened, about 15 minutes; add peas and cook, stirring occasionally, for 3 minutes longer. Add remaining ingredients and cook, stirring, until cheese is melted. Serve immediately.