Reading from the documentation, the suggestion for passing values between CDK Stacks within an app is to simply pass the value.
If the two stacks are in the same AWS CDK app, just pass a reference between the two stacks. For example, save a reference to the resource's construct as an attribute of the defining stack (this.stack.uploadBucket = myBucket), then pass that attribute to the constructor of the stack that needs the resource.
But it seems this only works if the CDK stacks are within one account.
Upon checking the generated templates, it generates a stack Output and Input and uses that for the passing values. And stack input and outputs does not work beyond the account they are created on.
What's the recommended way to pass values from stacks deployed in different accounts?