Hello, have a look at the description "Connections". 1x HDMI or directly via Optical Toslink, if your Sony UBP-X800M2 or your projector has this connection.
the supported inputs and outputs are as follows: - Analogue audio input (stereo mini), USB type A, FAT32/NTFS, optical audio input, HDMI (TV ARC). This will work with the UBP-X800M2. For your projector, you can contact the manufacturer for more information on compatibility.