  We construct the non-relativistic and Carrollian versions of
Jackiw-Teitelboim gravity. In the second order formulation, there are no
divergences in the non-relativistic and Carrollian limits. Instead, in the
first order formalism there are divergences that can be avoided by starting
from a relativistic BF theory with (A)dS2$\times\mathbb{R}$ gauge algebra. We
show how to define the boundary duals of the gravity actions using the method
of non-linear realisations and suitable Inverse Higgs constraints. In
particular, the non-relativistic version of the Schwarzian action is
constructed in this way. We derive the asymptotic symmetries of the theory, as
well as the corresponding conserved charges and Newton-Cartan geometric
structure. Finally, we show how the same construction applies to the Carrollian
case.
