A method for making a metal oxide material and catalyzing the oxidative coupling of methane, including mixing a metal cation-containing oxidizer portion and a reducing fuel portion with water to define an aqueous solution, evaporatively removing water from the aqueous solution to yield a concentrated liquid, burning the concentrated liquid yield an homogeneous metal oxide powder, flowing methane from a first source and oxygen from a second source over the homogeneous metal oxide powder, and catalyzing an oxidative coupling of methane reaction with the homogeneous metal oxide powder. The homogeneous metal oxide powder contains metal oxides selected from the group including LaSrAlO4, LaAlO3, Sr3Al2O6, Na2WO4—Mn/SiO2, and combinations thereof.