Hence why people say modern music is shit.
Modern is a genre itself at this point. It is what music is the style of that year. What do we see on ads everywhere, played on the radio, used in everything.
Crappy EDM/dubstep, pop songs, or new age hip hop.
Sorry toy rustled your jimbble jambbles, but yes, modern does mean present, though not much anymore.
Just like the word Literal usually is use for exaggeration.