  We prove that the LOSS and GRID invariants of Legendrian links in knot Floer
homology behave in certain functorial ways with respect to decomposable
Lagrangian cobordisms in the symplectization of the standard contact structure
on $\mathbb{R}^3$. Our results give new, computable, and effective obstructions
to the existence of such cobordisms.

Geometric Topology;Symplectic Geometry