Differences in backlink counts between Moz and SEMrush can be attributed to variations in data sources, crawl frequency, data filters, processing methods, data quality, exclusivity, and reporting lag between these tools. To get a more comprehensive view of backlinks, using multiple tools and focusing on backlink quality is advisable. For resolving discrepancies, consider contacting the support teams of Moz and SEMrush for insights into their data collection and reporting methods.