  In this paper, we consider a variant of Pillai's problem over function fields
$ F $ in one variable over $ \mathbb{C} $. For given simple linear recurrence
sequences $ G_n $ and $ H_m $, defined over $ F $ and satisfying some weak
conditions, we will prove that the equation $ G_n - H_m = f $ has only finitely
many solutions $ (n,m) \in \mathbb{N}^2 $ for any non-zero $ f \in F $, which
can be effectively bounded. Furthermore, we prove that under suitable
assumptions there are only finitely many effectively computable $ f $ with more
than one representation of the form $ G_n - H_m $.
