Extending a previous result by M.–W.Wong [“Wavelet transforms and localization operators” (Operator Theory:Advances and Applications 136; Basel: Birkhäuser) (2002; Zbl 1016.42017); in particular, Chapter 25, Proposition 25.3 and Theorem 25.4, and Chapter 26], the author defines two-wavelet localization operators, TWLOs, in the settings of homogeneous spaces. He claims that this extension may be of some utility in signal analysis, because of the extra degree of freedom with respect to Wong’s approach. After some introductory remarks, the author proves some propositions on TWLOs, showing, in particular, that each TWLO is a bounded and a trace class operator. Finally, he discusses several examples, including general Daubechies operators and two-wavelet multipliers.