To quickly increase Facebook page likes, you can invite friends to like your page, share engaging content, use Facebook's paid advertising features, cross-promote on other platforms, run contests and giveaways, collaborate with influencers, optimize your page with clear profile pictures, cover photos, and compelling descriptions, and respond to comments and feedback from your audience. These strategies help build a loyal and engaged following, but it's important to be patient and consistent with your efforts. Focus on providing value to your audience and building meaningful connections rather than just chasing likes. Remember, building a loyal following takes time and effort.