To finish a base and seal it apply either by spray bottle or with an airbrush a fine misting of thinned down acrylic medium (10 parts water, 1 part medium, one drop flow release). Repeat if needed. This kills remaining lustre and stops shedding. Some acrylic varnishes are actually matte medium, so yes, this could also be used to seal your miniature, but may be too thin for proper protection.
You can spray varnish on static grass, but you need to be careful to not overdo it, as it may form droplets.