Higher interest rates do not cause inflation. This author has no idea what he's talking about.
Higher interest rates are themselves higher costs. I think there’s more a symbiotic relationship between the two than a cause/effect one. If one raises, then you’ve affected the other. In our controlled economy, arbitrary decisions to increase interest rates are met by increased prices to confront increased costs.
I know for a fact because I lived through it, high inflation led directly higher rates on savings and CDs during the Jimmy Carter era. So that higher interest paid, led to higher interest rates across the board.