By modern chant, he means after the 4th century, right?
Well, there's John Tavener's work from the 20th century and Metropolitan Hilarion (Alfeyev's) from the 21st.
The totally beautiful music which we use for the Panikhida is Pyotr Spassky's who wrote it in the 1920s or 1930s in Paris. People assume it is ancient but it is modern. And our choir loves to sing Chesnokov's Liturgy, composed in the early 1900s.