Welcome to the Q&A Forum

No backlink checker is perfect, unfortunately. Nobody has the resource of Google to crawl the entire web (even Google only crawls a section of it). In my experience Majestic & AHREFs have the largest backlink counts, and Moz can show some of your newer links through their "Recently Discovered" tab. If you can afford them all, it's best to combine data from all sources and de-dupe them. Bing Webmaster Tools can provide some additional backlink data as well.