You should use each select operation one at a time.
- The first one, that is in your model should be defined as
NEW_SELECTION
only;
- Then use another Select Layer by Location (or by Attributes, it shouldn't matter) on the output of the first Selection, and choose
SWITCH_SELECTION
without defining any expression.
This should do the job.
EDIT: Further comments
The reason you do not see any selection in the output of your model is that you use MAKE FEATURE LAYER
tool which creates a temporary layer within your model; thus in order to see the output you should export it to a new layer. You can use the copy features
tool to export selected features. See result below (non intersecting polygons are populating a new layer and symbolized as hollow polygons with red border)

This is the model I used:

If you wish to only select features in your already existing feature class, you can drop the Make Feature Layer
tool and preform selection directly on your layers. See results and model below (note that in order to see the selection on the view window you should zoom-in or out to perform rendering):

and the model:
