It is a complex transitive construction here, i.e. the two elements following the verb are notionally equated with the subject and predication respectively of a nominal clause.

Since nouns or adjectives function as the object comlement in complex transitive constructions and nonfinite clauses don't, the definition "a predication adjunct" is adopted by R.Quirk etal for the nonfinite clause following the direct (raised) object (him).

Hence you can abide by R.Quirk etal and regard "cry" as a predication adjunct.

It is a complex transitive construction here, i.e. the two elements following the verb are notionally equated with the subject and predication respectively of a nominal clause.

Since nouns or adjectives function as the object comlement in complex transitive constructions and nonfinite clauses don't, the definition "a predication adjunct" was adopted by R.Quirk etal for the nonfinite clause following the direct (raised) object (him).

Hence you can abide by R.Quirk etal and regard "cry" as a predication adjunct.