CryptoBridge runs on top of Bitshares and as a result you can use the Bitshares API to trade on CryptoBridge.
Helpful links:
http://docs.bitshares.org/api/
http://docs.pybitshares.com/en/latest
http://docs.pybitshares.com/en/latest/bitshares.market.
html?highlight=exchange
https://bitsharestalk.org/index.php?topic=25988.0
https://github.com/bitshares/bitsharesjs-ws