Hi there,
This is what is called an orchestral reduction. It is intended for the piano to play, but it is a reduced version of a composition originally scored for orchestra. The identifiers are telling the musicians which instruments would have played it in the orchestral version.
Section 29.9 of MBC 2015 talks about orchestral reductions in piano music. Transcribe this in piano bar-over-bar format. Treat the instrument abbreviations as word-sign expressions and include them in the music where they appear in print. The notes printed in small type can be shown in in-accords using the small type indicator – dots 6, 26 (doubled by repeating the second cell before the first instance and using the 2-cell symbol before the final instance).
Hope that helps!
Kathleen