  We study the black hole information problem on codim-2 branes in Gauss-Bonnet
gravity. Thanks to the island surface ending on the brane, the Page curve of
eternal black holes can be recovered for all of the GB couplings within the
causal constraints. Our results strongly support the universality of the island
mechanism. Similar to Einstein's gravity, the HM surface can exist only in a
finite time in GB gravity. Remarkably, for various parameters, the maximum
times of HM surface are always larger than the Page times. As a result, the
strange behavior of HM surfaces does not affect the Page curves for general GB
gravity. Finally, we establish the correlation between the Page time, GB
couplings, and brane tension, revealing that the Page time increases with these
factors.
