Here, the authors wanted to test how the speed of apoptotic trigger waves are affected in the absence of the mitochondria. As a result, they obtained the cytosolic extract by fractionation and checked for the absence of the mitochondria using a marker protein by immunoblotting.
The marker protein resides and functions in the mitochondria and hence the absence of this protein can be used as an indicator for the absence of the mitochondria in the extract.
Immunoblotting (also called western blotting) is a technique used to detect the presence and levels of a specific protein in biological samples.
Here is a video illustrating how immunoblotting is performed in the lab:
https://www.youtube.com/watch?v=OkH8u84t84M