Can the LR test be helpful in choosing the optimal lag order in the VAR model when information criteria suggest different lag orders?

Can the LR test be helpful in choosing the optimal lag order in the VAR model when information criteria suggest different lag orders?

Hatemi-J, A., (2009)

Time-Varying Estimates for the Natural Rate of Unemployment and the Phillips Curve in the US Using the Kalman Filter

Hacker, R.S., (2005)

Forecasting properties of a new method to determine optimal lag order in stable and unstable VAR models

Hatemi-J, Abdulnasser, (2008)