I'm having trouble playing the trills below, especially with the two sixteenth notes at the end. Basically, I'm wondering, if the trills notes were written in full, how would they look?
Wow I did this type of theory work but a week ago.
The use of the grace not is trying to indicate that the composer wants you to use the turn motif at the end of the trill. You give no indication on the tempo of the piece so it is not all that clear if they want a long trill or a short one.
Also whether it is a baroque trill or a modern one I cannot say from that picture alone. If it is a baroque trill it usually starts on the upper auxiliary note where a modern trill will usually begin on the principle note.
I'm going to give you some ideas as to best illustrate how you should play with the information I have no. Feel free to add and more details and I will edit my post.
If the piece is Adagio and a baroque trill then it would resemble something like this.
If it is a presto Baroque trill it will naturally have fewer notes.
It has been shown to me that this is most probably from a classical era piece and that the tempo is Andante. I have left the Baroque trills as I do think the distinction may be worth preserving.
That means that the trills start on the principle note and that the relaxed pace may still have a lot of notes in the trill.