You Do Need power plug adapter while traveling from Réunion to Mozambique.

Here is Why You Need An Adapter

The outlet and plug type used in Mozambique are C, F and M and in Réunion are C and E. This is how they look like.

Réunion

In Réunion, outlets of type C and E are in use.

Type C

Type E

Mozambique

In Mozambique, outlets of type C, F and M are in use.

Type C

Type F

Type M