a (kind of) reflection on (someone or something)
That which presents a particular kind of opinion about or informs the reputation of someone or something. The staff you hire to serve customers are the best reflection on your restaurant as a whole. I feel like parents only want their children to behave in public because they know they'll be a poor reflection on them otherwise. The decay and ruin these landmarks are in is unfortunately a sad reflection on the economic state of our city.
a sad, poor, etc. reflection on something
a thing which damages somebody’s/something’s reputation: The increase in crime is a sad reflection on our society today.