The study proposes an improved Gabor order tracking (GOT) technique to cope with crossing-order/spectral components that cannot be effectively separated by using the original GOT scheme. The improvement aids both the reconstruction and interpretation of two crossing orders/spectra such as a transmission-element-regarding order and a structural resonance. The dual function of the Gabor elementary function can affect the precision of tracked orders. In the paper, its influence on the computed Gabor expansion coefficients is investigated. For applying the improved scheme in practical works, the separation and extraction of close-order components of vibration signals measured from a transmission-element test bench is illustrated by using both the GOT and Vold-Kalman filtering OT methods. Additionally, comparisons between these two schemes are summarized from processing results. The other experimental work demonstrates the ranking of noise components from a riding electric scooter. Singled-out dominant noise sources can be referred for subsequent design-remodeling tasks.