I would recommend starting by taking a look at the Open Telemetry (OTel). It's a CNCF project, so not tied to specific product, and their goal is to provide a level of observability across your architecture, including the ability of tracing across distributed apps (whether they are sync or async).
I will warn that there is currently a SIG focusing on defining the messaging semantics so this isn't a fully baked solution at this point. You can find more info on that SIG here. They are working to replace the existing experimental messaging semantic conventions with a stable document as things go GA.
That said, you'd probably want to start with instrumenting your apps/microservices and OTel has a number of auto-instrumentation libraries for different APIs & languages in various OTel repos. For example, the repo for the Java agent with a number of auto-instrumentation implementations (including JMS) can be found here: https://github.com/open-telemetry/opentelemetry-java-instrumentation. The idea of the auto-instrumentation is that it doesn't require app code changes so as things evolve it should be easy for you to evolve with it, which is obviously ideal since the messaging semantics are still in work.