I disconnected the sensor while Bela was powered through USB same glitchy sound appeared. When there is no data coming to analog inputs it goes randomly up and down, so those were the reason (they were affecting my pitch shifter patch). Maybe 3.7 lipo is not enough for powering the ADXL326 because it's acting like there is no connection when powering with it.
What can I do alternatively? I really want to work it with rechargeable batteries, but open to the other solutions as well.