Commands can go through message busses and be managed easily or it could just be a sequence of async requests, but regardless of what drives commands and events at that point you should have a very solid CQRS architecture in mind. What should be acknowledged to the client is that the command was published and that's it. The problem is of course eventual consistency but it's a trade-off for being able to handle a huge amount of load by scaling separately both COMMAND handlers which perform data modification, and EVENT handlers that allow the side effects that must occur.
In a typical web app setup I would define a request ID at time of client request. The request creates a COMMAND which carries with it a request ID as well as a command ID. This results in an action and then the EVENT is published with the request ID, command ID, and event ID.
To monitor you collect the data and then look at the timestamp differences to monitor lag and dropped messages. With the events, you get all the data necessary to audit what request, and subsequent command, created a system change. To audit the full data change however, and not just which request caused what change, you need to have a very well-structured event model designed for what you want to audit.
You can't guarantee when a command or subsequent event will be processed, but that's fine. That's the whole point around eventual consistency. It's a bit uncomfortable at first, but use the lag monitoring and traceability as a debug tool when needed and really it's no problem. Also just shift the client over to reading from your read-specific projections on refresh or periodically and data will eventually appear for the user. It's the reason sometimes a new order might not appear right away on your order history for instance on Amazon, and in reality it's fine 99% of the time. Never have your client wait on a result. Instead think: how can I design my application to not need to block on anything? It's doable though it is quite hard and if you've only designed synchronous systems it will feel so uncomfortable.
And remember some things should not have CQRS design, backed by a message bus or not. These will be bottlenecks but they might be necessary. The whole system you design doesn't have to stick to a single paradigm. Need transaction IDs to be strictly consistent for a checkout flow to be secure and safe? Use good old synchronous methods to do it.
Core in all of this is data design. If you design your entities, commands, or events poorly, you will suffer the consequences. You will often hear the word "idempotency" a lot in CQRS design. It's because idempotent commands are super important in preventing unintended side effects. Same with idempotent events, if possible. If you get duplicate events from a message bus, idempotency will save your arse if it's a critical part of the system. If it's something mild like an extra "addToCart" command or something, no big deal really, but imagine a duplicated "payOrder" command ;).
To summarize, I correlate output to commands and requests by ensuring there are no unknown side-effects, critical synchronous components remain synchronous, designing architecture that compliments the data (not the other way around), and ensuring that the client is designed in such a way that eventual consistency doesn't matter from the user perspective when it comes into play.