What are you sending video and audio to the projector from? Is it straight from the BD player or from a receiver or AVP
I suspect that you are falling foul of HDMI copy protection.
I note that none of your HDMI ports are labelled ARC or eARC ports.
If you are sending the signal to the projector, which I assume you must be, then you need an HDMI audio return channel which as far as I can tell you don't have.
I suspect you are going to need an AV receiver. Then you connect the BD player to the receiver and the receiver to the projector, and get your sound from the receiver and speakers.
I am not clear from your photographs which unit is the projector inputs and which the sound bar. If the projector has an optical out and the sound bar an optical in, you can get sound that way.