This research investigation encompasses expanded testing of a high frequency combustion instability suppression technique, in which an instability is able to be controlled by acoustically modulating the incoming oxidizer flow. To test this concept, a single element model rocket combustor (dinner = 10.16 cm and l = 16.51 cm) which burned gaseous oxygen and methane was implemented. The single injector incorporated was of a 45 o impinging pentad style with a JBL 2446J compression driver at the base of the oxidizer supply line. Using this test facility, two acoustic modulation approaches were investigated to determine their effectiveness at damping a spontaneously excited f ≈ 2,400 Hz longitudinal instability. The first approach saw varying 500 Hz bands of white noise applied from f = 0-500 Hz to 2,000-2,500 Hz, while the second approach implemented single frequency signals with arbitrary phase swept from f = 500 Hz -2,500 Hz. It was found that above a certain signal amplitude threshold, 95+ % suppression of the spontaneous combustion oscillation was achieved using these two acoustic modulation approaches. Also, the frequency ranges associated with instability suppression were shown to expand with increased amplitude of the applied acoustic signal in both the band-limited white noise and single frequency sweep studies. Thus from these results, further evidence is provided to support the strategic application of acoustic modulation within an injector as a potential method to control high frequency combustion instabilities for liquid rocket engine applications.