Among the existing BOC signal receiving technologies, the Dual dual binary phase-shift keying tracking tracking (DBT), originally designed for alternate BOC (AltBOC) modulated Galileo E5 signal and then extended to standard BOC signals, has its unique characteristics. It incorporates both single-band and dual-band processing schemes into a unified and simple structure to meet both requirements of improving ranging precision and anti-jamming. However, it is problematic to directly extend the DBT technique from the AltBOC signal to the standard BOC signal. The root cause of this problem lies in that there are some ripples on the cross-correlation functions (CCF) between the received standard BOC signal and the local replicas in the upper and lower sidebands. This leads to more complex thermal noise and antimultipath behaviors. So in this paper we propose an improved DBT method for standard BOC signals by adding two digital IF filters before tracking loops on the upper and lower sidebands, respectively. Simulated tests on the self-made software receiver demonstrate the usability and effectiveness of this new method.