Preheat oven to 200 degrees C. Line a baking tray with aluminum foil.
Mix cream cheese and Cheddar cheese together in a bowl until evenly blended. Fill each jalapeno half with the cheese mixture. Put halves back together and wrap each stuffed pepper with a rasher of bacon. Arrange bacon-wrapped chillies on the prepared baking tray.
Bake in the preheated oven until bacon is crispy, about 15 minutes. Serve immediately.