The Cyrus IMAP server provides service interfaces via either TCP/IP ports or Unix domain sockets. For the former, Cyrus requires that there are proper entries in the host’s /etc/services file. The following are required for any host using the listed services:

pop3      110/tcp  # Post Office Protocol v3
nntp      119/tcp  # Network News Transport Protocol
imap      143/tcp  # Internet Mail Access Protocol rev4
imsp      406/tcp  # Internet Message Support Protocol (deprecated)
nntps     563/tcp  # NNTP over TLS
imaps     993/tcp  # IMAP over TLS
pop3s     995/tcp  # POP3 over TLS
kpop      1109/tcp # Kerberized Post Office Protocol
lmtp      2003/tcp # Lightweight Mail Transport Protocol service
smmap     2004/tcp # Cyrus smmapd (quota check) service
csync     2005/tcp # Cyrus replication service
mupdate   3905/tcp # Cyrus mupdate service
sieve     4190/tcp # timsieved Sieve Mail Filtering Language service

Make sure that these lines are present and add them if they are missing.