Chop and mix the cabbage, green onions, grated carrots, red cabbage, white onion, and cilantro together in a large bowl. Add the canned chopped jalapeños.
In a small food processor, puree the peperoncinis. Add the olive oil, rice vinegar, and seasoning; toss again. Salt and pepper to taste.
Mix well and let stand 30 minutes; enjoy with tortilla chips, on top of an entree (like tacos), or as a side salad.