  The current best upper limit for electron electric dipole moment (EDM),
$|d_e|<1.1\times10^{-29}\,$e$\cdot$cm ($90$% confidence), was set by the ACME
collaboration in 2018. The ACME experiment uses a spin-precession measurement
in a cold beam of ThO molecules to detect $d_e$. An improvement in statistical
uncertainty would be possible with more efficient use of molecules from the
cryogenic buffer gas beam source. Here, we demonstrate electrostatic focusing
of the ThO beam with a hexapole lens. This results in a factor of $16$
enhancement in the molecular flux detectable downstream, in a beamline similar
to that built for the next generation of ACME. We also demonstrate an upgraded
rotational cooling scheme that increases the ground state population by $3.5$
times compared to no cooling, consistent with expectations and a factor of
$1.4$ larger than previously in ACME. When combined with other demonstrated
improvements, we project over an order of magnitude improvement in statistical
sensitivity for the next generation ACME electron EDM search.
