  LaCoO$_3$ provides a poignant example of a transition metal oxide where the
cobalt cations display multiple spin states and spin transitions and which
continues to garner substantial attention. In this work, we describe first
principles studies, based on DFT+$U$ theory, of superlattices containing
LaCoO$_3$, specifically (LaCoO$_3$)$_n$+(LaTiO$_3$)$_n$ for $n=1,2$. The
superlattices show strong electron transfer from Ti to Co resulting in
Co$^{2+}$, significant structural distortions and a robust orbital polarization
of Co$^{2+}$. We predict high-spin Co$^{2+}$ and a checkerboard or G-type
antiferromagnetic (AFM) ground state. We provide a detailed analysis of the
magnetic interactions and phases in the superlattices. We predict that
ferromagnetic order on the Co${2+}$ can be stabilized by hole doping (e.g.,
replacing La by Sr) which is rather unusual for Co$^{2+}$ cations.
