None, because lavaan is an SEM package. If you are running a path analysis with observed variables, you can run a separate regression for each outcome using the lm() function, and use the many tools for regression diagnostics that are available for OLS regression models. The MASS and car packages are particularly useful.
Terrence D. Jorgensen
Postdoctoral Researcher, Methods and Statistics
Research Institute for Child Development and Education, the University of Amsterdam