Multiple inputs on DAC

I have a Shiit Bifrost DAC. It has multiple inputs for optical, RCA. Ect. It seems it auto scans for an active source and selects it. I thought about connecting my Innuos player to the Bifrost via RCA. However, the Blusound 2i streamer is always on. I wonder if this DAC is meant for only one input device?

Can I connect both inputs live and manually select the Innous? Or will that configuration blow the DAC or amp?

Will I need to purchase another separate DAC for the innuous? The innuous is lacking low end bass with the built in DAC. Playing the same music on each device, the player is better on mid and highs, the streamer gets bass all the way down. Thank you  PCR