Prepare the vegetables: In a large mixing bowl, combine the shredded green cabbage, shredded red cabbage, frozen corn, finely chopped jalapeno, and sliced green onions. Mix everything well to ensure even distribution of ingredients.
Make the dressing: In a separate small bowl, whisk together the mayonnaise, sour cream, fresh lime juice, salt, smoked paprika, and chili powder until smooth. This dressing is where all the flavors come together, so be sure to mix it thoroughly.
Toss the coleslaw: Pour the prepared dressing over the cabbage mixture. Toss the ingredients together until everything is evenly coated with the dressing.
Add the finishing touches: Gently fold in the crumbled feta cheese and chopped cilantro into the coleslaw. Be careful not to overmix to keep the feta intact.
Chill before serving: Let the coleslaw sit in the refrigerator for at least 30 minutes before serving. This resting time allows the flavors to meld together and enhances the overall taste.