In the sentences below, the phrases in italic have the direct object "him" as a predicand, and would, I think, be analyzed as predicative (depictive?) adjunct, according to the terminology used in Huddleston&Pullum's Cambridge Grammar:
1a) She found him with his hands tied behind his back.
1b) She found him lying on the bed.
1c) She found him injured.
The use of the past-participle in the sentence below is clearly different, as it forms a syntactic constituent (noun phrase/object) with the preceding noun - "suspects involved in the robbery":
2a) She found the suspects involved in the robbery.
Although superficially similar to examples 1, this sentence obviously has a different syntactic structure.
Now, my problem is that in many cases this difference is not clear to me. For example, I'm not sure how to analyze the past-participial (passive?) phrase in italic in the following sentence:
2b) She found a note left on the table.
or in this one :
2c) The panel addressed numerous issues raised by the US steel exporters.