You Do Need power plug adapter while traveling from Falkland Islands to Taiwan.

Here is Why You Need An Adapter

The outlet and plug type used in Taiwan are A and B and in Falkland Islands is G. This is how they look like.

Falkland Islands

In Falkland Islands, outlets of type G are in use.

Type G

Taiwan

In Taiwan, outlets of type A and B are in use.

Type A

Type B