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Hi and welcome to JustAnswer,Thank you for the question and your patience. Should you still need assistance for information purposes only...Initially, which audio input cables do you have please? ...the 2 to 2 RCA-to-RCA? ...or the 2 RCA plugs to a 3.5mm earphone plug?
These are the names of the types of cables/plugs.
Can you see the jacks at the back of the Bose Companion 2 right speaker? Do you have the plugs/cables that would fit these jacks?
The AUDIO OUT jacks of a Sony KDL40XBR2 are at the rear lower center. Can you check please?
Is this "...speaker cable..." from the Bose LEFT SPEAKER ?
Appreciate the additional information.
Does the Bose right speaker show power? ...is the volume control set correctly?
Touching the metal tip/end of the right speaker cable, is there a thump/humming sound from the Bose speakers?
The right speaker may need a different cable than what you described. Please see / click / goto https://www.dak.com/reviews/imagesR4/2068_CableRCARCA.jpg
These cable would connect the Bose RIGHT SPEAKER to the Sony's AUDIO OUT (VAR/FIX)
If there is no thump / humming from the speakers when the metal tip/end of the speaker cable is touch, then the Bose is not working.
Have you checked the AC power pack and that it gets warm when plugged into a wall outlet for some time?
The thump/hum is a test if the speaker cable and if the Bose are working.
The AC power pack getting warm is a rough test to determine if it works/