How to construct a Lagrangian that gives the Lorentz force law with both magnetic and electric monopole?

I got that the force will be of the form

\begin{equation} m \frac{\mathrm{d}x^\nu}{\mathrm{d}\tau^2}=\left(qF^{\mu\nu}+ g\star F^{\mu\nu}\right)\frac{\mathrm{d}x_\nu}{\mathrm{d}\tau} \end{equation} where $\star$ is the Hodge dual, but I am not sure what kind of Lagrangian gives the magnetic part.



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