Now you assign each bug to an individual contributor. This is a pretty standard managerial process, and while it definitely involves some detailed work and communication, I would imagine that most software engineering managers are already familiar with how to do it.
One tricky piece here is that some of the bugs might be about code that isn't maintained by your team. In that case you'll have to work appropriately through the organization to get the appropriate team to take responsibility for the issue. It helps to have buy-in from a manager that you have in common with the other team, higher up the chain, here.
In some organizations, if the other team's problem is not too complex or detailed, it might also be possible for your team to just make the changes themselves. This is a judgment call that you can make based on what you think is best for overall productivity.