Glyphosate has been shown to impact the immune system through different pathways, though much more research is needed. The following selection of research discusses a few different pathways, but not the impact of glyphosate on the composition of the microbiome (which can be accessed here). The microbiome is closely intertwined with the immune system, and glyphosate has been shown to selectively kill the beneficial bacteria and let pathogenic bacteria proliferate.
The impact and toxicity of glyphosate and glyphosate-based herbicides on health and immunity
Glyphosate-based herbicides: Evidence of immune-endocrine alteration
Glyphosate differentially affects the allergic immune response across generations in mice
Direct Effects of Glyphosate on In Vitro T Helper Cell Differentiation and Cytokine Production
Immunotoxicity of relevant mixtures of pesticides and metabolites on THP-1 cells