"the matching of" is correct and usable in written English.
You can use it when comparing two items. For example, "The matching of the curtains to the furniture created a modern, cohesive look in the room."
The matching of the actors' voices with the characters is a big plus for "Ralph".
The model focuses on the matching of regions of interest.
There is pharmacogenomics, the matching of drugs to individuals on the basis of genetics.
In the end, the matching of prints is an art rather than an exact science.
Others noticed that the matching of resources to priorities was, in many areas, muddled at best.
He should help, not impede, the matching of supply with demand.
Such was the matching of the new life and the new drugs.
Logic of appropriateness, a view of action that involves the matching of situations, roles, and rules.
It might also facilitate the matching of workers with available jobs.
Pay close attention to chemistry and the matching of coach to coachee.
Marriage and childbirth are preceded by the "matching" of men and women in the relationship market.
