The Steel Magnolias star didn't join Instagram until 2018 according to W Magazine. Browsing her page, you'll see the star's photos are mostly of herself, and sometimes Moder. For instance, Roberts shared an image of the couple to commemorate their 18th anniversary. But even then, the picture featured a makeup-free Roberts dressed down and casual, not on the red carpet with full hair and makeup.
Indeed, it doesn't seem like the My Best Friend's Wedding actress is interested in sharing her kids with the public, and instead, favors a private, and yes, normal life.