The only way to convert aromatic methoxy or hydroxy groups is through Nucleophilic Aromatic Substitution, but the reaction conditions are way too harsh for a substrate like anethole to survive, see the following tutorial for details on Nucleophilic Aromatic Substitution (http://www.people.virginia.edu/~fac6q/242_23_05_06.pdf)
(http://www.people.virginia.edu/~fac6q/242_23_05_06.pdf)