My interpretation is as follows:
If the reaction is carried with an achiral ligand, the S substrate gives predominantly the S,R product. This is sometimes called the inherent selectivity - it is the substrate-controlled selectivity.
Using a chiral ligand, the configuration of the new centre, if determined only by the ligand (ligand control), would be independent of the configuration of pre-existing stereogenic centres. In reality, the dr is determined by a combination of substrate control and ligand control.
The matched ligand is the enantiomer of the ligand which has the same preference as the substrate control. In this case, the ligand that favours the formation of a new R centre.
The unmatched ligand is the enantiomer which has the opposite preference to the substrate control (favours formation of a new S centre)
In a matched combination, ligand and substrate control work in the same direction and dr should increase relative to the inherent selectivity.
In an unmatched combination, ligand and substrate control oppose. If ligand control dominates, the dr will reverse relative to the inherent selectivity (and will be lower than the matched combination since the two effects oppose - see table 1, entry 8 vs entry 10).
If substrate control dominates, the dr will drop but the major product will be the same as the inherent selectivity.