You Do Need power plug adapter while traveling from Luxembourg to Jordan.

Here is Why You Need An Adapter

The outlet and plug type used in Jordan are C, D, F, G and J and in Luxembourg are C and F. This is how they look like.

Luxembourg

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

Type C

Type F

Jordan

In Jordan, outlets of type C, D, F, G and J are in use.

Type C

Type D

Type F

Type G

Type J