The correct answer is option 2, Myanmar. Cyclone `Tauktae` was named by Myanmar.

Naming cyclones helps in identifying and tracking them, especially when multiple cyclones are active in a region. The World Meteorological Organization (WMO) is responsible for naming cyclones. Each region has its own predetermined list of names. The names are given in advance and are reused after a specific period.

In the case of the Indian Ocean region, the countries in the region provide a list of names to the WMO, which are then used to name cyclones. Each country in the region gets a turn to name a cyclone. Myanmar named the cyclone `Tauktae`.

It is important to note that the names given to cyclones are not based on the impact or severity of the cyclone. The names are selected in a systematic manner and are not changed based on the intensity of the cyclone.

Therefore, the correct answer is option 2, Myanmar, as they were the country responsible for naming Cyclone `Tauktae`.