This question always seems to imply that there is something wrong with a certain style of music. It is really up to the listener to define what is “pop” or modern music. At one time, jazz and swing music was viewed as being the vile music of youngsters. Now these two types of music are regarded as being classically “unhip.”
Any type of music can be used to honor God. A song does not need to be 100 years old and written in the King James English to be considered Christian.
I have noticed that most contemporary Christian music today lacks a clear connection to the faith it claims to represent. The lyrics to many songs are so vague, you would never know that they fit under the Christian label unless someone told you.