  We show that the most general two-dimensional dilaton gravity theory with
second-order field equations, which includes Horndeski and Kinetic Gravity
Braiding families, may be obtained from the Jackiw-Teitelboim (JT) gravity
through a general disformal transformation, up to boundary terms. This map does
not change the degrees of freedom if the invertible transformation is applied.
We also show that this most general family of theories is closed under generic
disformal transformations.
