In a large bowl, toss together romaine lettuce, salad greens, mandarin oranges, snow peas, carrots, and green onions.
In a small bowl, whisk together mandarin orange juice, apple cider vinegar, soy sauce, agave, vegan mayo, ginger, and garlic. Slowly pour in olive oil while whisking until well combined.
Pour dressing over salad and toss. Top with slivered almonds and crispy noodles.