The reason for the matching of List - I with List - II is as follows:

(A) Montreal protocol - (IV) Banning the use of chlorofluorocarbons: The Montreal Protocol is an international treaty designed to protect the ozone layer by phasing out the production and consumption of ozone-depleting substances, including chlorofluorocarbons (CFCs).

(B) Greenhouse gases - (I) Burning of fossil fuels and deforestation: Greenhouse gases, such as carbon dioxide, are released into the atmosphere primarily through the burning of fossil fuels and deforestation. They contribute to global warming and climate change.

(C) Kyoto - (II) UN conference on climate change: The Kyoto Protocol is an international treaty aimed at addressing climate change.

                    It was adopted at the United Nations Framework Convention on Climate Change (UNFCCC) and subsequent conferences, making it related to UN conferences on climate change.

(D) Appiko - (III) Karnataka: Appiko is a popular environmental movement that began in the Indian state of Karnataka. It involved the Chipko-style tree-hugging protest to protect forests.

This is why the correct answer is (2): (A)-(IV), (B)-(I), (C)-(II), (D)-(III).