The Argument from Complexity is little more than a rephrasing of the First Cause argument with a hint of the Argument from Design mixed in.
Every system has a certain amount of complexity.
B has a complexity C B , then system B can only 'come from' system A if C A is greater than C B . At some point the Universe 'came from' something. G with a complexity C G that is greater than C U , from which the Universe came. This system G can be identified with God. With the phrase 'come from' any number of things are implied, including, but not necessarily limited to, 'evolved from', 'caused by' and 'created by'.