AFAIK, RE2 does not implement a tagged DFA. It implements a DFA that runs when captures are not required and/or to find a match within the text and then it runs the NFA to record the captures.
I'm aware of Laurikari's algorithm, I'm not aware of it being correct[0]. Also, their algorithm has POSIX semantics, RE2 (and most PLs regex engines) has PCRE semantics.
[0] http://lambda-the-ultimate.org/node/2064#comment-25469