C$_2H_2$ have acidic nature but it is less acidic than
water but phenol is more acidic than water due to
resonance stabilisation of phenoxide ion. H$_2CO_3$ is
most acidic due to resonating stabilisation of
carbonate ion (CO$_3^{2-}$).
Thus, the correct order is
$ \, \, \, \, \, \, C_2H_2 < H_20 < phenol < H_2CO_3$