2003 audi a6 2.7t

I cannot identify this part and I need to because I need to fix my car for work next week...hhopimg one of you experts can help me. On the left side the two hoses split off the middle piece where they were originally joined together. On the right side there are two connections for a total of four connections....I just need the black middle piece that looks like a black top. I replaced another hose and the air pump but found this hose split in half too.. im thinkimg maybe I have to replace it along with the conmecting hoses that snapped off. Please help this has been a night mare.