  One of the most significant and practical figures of merit in axion haloscope
searches is the scanning rate, because of the unknown axion mass. Under the
best experimental parameters, the only way to improve the figure of merit is to
increase the experimentally designed signal to noise ratio in the axion
haloscope search analysis procedure. In this paper, we report an improved axion
haloscope search analysis using the data taken by the CAPP-8TB haloscope. By
correcting for the background biased by the background parametrizations in the
presence of axion signals, we realized a signal to noise ratio efficiency of
about 100\%. Given the axion haloscope search analyses to date, the scanning
rate can be improved by 21\%, with about a 10\% improvement in the signal to
noise ratio. This improvement is another low cost innovation in axion haloscope
searches, where all the experimental parameters are currently at their best.
