This (τουτο). Probably the preceding one about the head-dress of women, and transition to what follows.

I praise you not (ουκ επαινω). In contrast to the praise in 1 Corinthians 11:2.

For the better (εις το κρεισσον). Neuter articular comparative of κρατυς, but used as comparative of καλος, good. Attic form κρειττον.

For the worse (εις το ησσον). Old comparative from ηκα, softly, used as comparative of κακος, bad. In N.T. only here and 2 Corinthians 12:15.