The Schiit Bifrost DAC is designed to handle multiple input sources, so it should be safe to connect both your Innuos player and Bluesound 2i streamer to it at the same time. The DAC should automatically detect which input is active and switch to it. If you want to manually select the Innuos player, you can do so by using the input selector switch on the front panel of the Bifrost.MyBKExperience Survey Code
As for the sound quality differences between the Innuos player and Bluesound 2i streamer, it's possible that the built-in DAC in the Innuos player is not as good as the one in the Bluesound 2i. If you prefer the sound of the Bluesound for bass, you could consider using a separate DAC with the Innuos player to improve the low-end performance. However, this may not be necessary if you're happy with the overall sound of the Innuos player and just looking for more bass. You could try adjusting the EQ settings on the Innuos player to boost the bass frequencies and see if that helps.