  In this note, we propose a simple way of constructing HDG+ projections on
polyhedral elements. The projections enable us to analyze the
Lehrenfeld-Sch\"{o}berl HDG (HDG+) methods in a very concise manner, and make
many existing analysis techniques of standard HDG methods reusable for HDG+.
The novelty here is an alternative way of constructing the projections without
using $M$-decompositions as a middle step. This extends our previous results
[S. Du and F.-J. Sayas, SpringerBriefs in Mathematics (2019)] (elliptic
problems) and [S. Du and F.-J. Sayas, Math.~Comp.~89~(2020), 1745-1782]
(elasticity) to polyhedral meshes.
