  Z.E. Musielak has reported in 2008 J. Phys. A: Math. Theor. {\bf 41} 055205
methods to obtain standard and non-standard Lagrangians and identify classes of
equations of motion that admit a Lagrangian description. In this comment we
show how to obtain new non-standard Lagrangians using the non-standard
Lagrangians previously found. In particular, it is demonstrated that for every
non-standard Lagrangian one can generate a new non-standard Lagrangian
associated to a new equation of motion.
