  We prove the $r$-spin cobordism hypothesis in the setting of (weak)
2-categories for every positive integer $r$: The 2-groupoid of 2-dimensional
fully extended $r$-spin TQFTs with given target is equivalent to the homotopy
fixed points of an induced $\textrm{Spin}_2^r$-action. In particular, such
TQFTs are classified by fully dualisable objects together with a trivialisation
of the $r$-th power of their Serre automorphisms. For $r=1$ we recover the
oriented case (on which our proof builds), while ordinary spin structures
correspond to $r=2$.
  To construct examples, we explicitly describe $\textrm{Spin}_2^r$-homotopy
fixed points in the equivariant completion of any symmetric monoidal
2-category. We also show that every object in a 2-category of Landau--Ginzburg
models gives rise to fully extended spin TQFTs, and that half of these do not
factor through the oriented bordism 2-category.
