There are some verses in the Bible that could be interpreted as being critical of secular music. For example, Ephesians 5:11 says, "Take no part in the unfruitful works of darkness, but instead expose them." Some people interpret this verse as meaning that Christians should avoid listening to secular music, as it is not considered to be "fruitful."
On the other hand, there are also some verses in the Bible that could be interpreted as being supportive of secular music. For example, 1 Corinthians 10:31 says, "So, whether you eat or drink, or whatever you do, do all to the glory of God." Some people interpret this verse as meaning that Christians can listen to secular music, as long as they do it in a way that glorifies God.
Ultimately, it is up to each individual to decide what they believe about Green Day's music and its relationship to religion. There is no one right answer, and what is considered to be acceptable for one person may not be acceptable for another.