Sth can provide an alternative reaction route with smaller activation energy so that the reaction rate becomes faster.
Fe3+ or Fe2+ can react with the reducing agent and oxidizing agent subsequently by means of changing its oxidation states, and Mn2+ can also have variable OS so why they're wrong??
Moreover Fe2+, Fe3+ are postively charged so I think they should attract the reactants so Fe2+,Fe3+ should be able to be the catalyst.