Verifying a local business page adds a layer of legitimacy to your presence and can help customers feel more confident when they engage with you on Facebook.
The main benefit of the verification check mark is that it will signify to users that your Facebook page is legitimate. So if an unauthorized person creates an imposter page for your business, the lack of this badge will signal to users the page may not be authentic. Beyond legitimacy, verification also provides implied endorsement and stature.