How does twisting the cables reduce the interference between the wires?

it doesn't.

What it reduces is interference between the signals on the wires and other wires or components, and only if the two wires are signal and return, that is, the currents in the two wires are equal and opposite. This causes the EM fields to cancel (mostly).

At the point when a meddling sign is applied similarly to the two sides of the turned pair, the meddling sign is killed and obliterated. At radio frequencies stray capacitance will couple energy between the wires. Once more, in light of the fact that the impedance is equivalent and inverse in the curved pair, the RFI will in general offset.