To check the Domain Authority (DA) history of a website, you can use tools and methods like:
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Moz Link Explorer: 
- Moz is the creator of the Domain Authority metric. By using Moz's Link Explorer, you can check the current DA of a website. However, for historical data, you'd need a Moz Pro subscription, which allows access to more detailed analytics over time.
 
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Ahrefs: 
- Ahrefs offers a similar metric called Domain Rating (DR). While it's not the same as DA, it serves a similar purpose. Ahrefs provides historical data on DR, backlink profile, and other metrics, which can give insights into how the site's authority has changed over time.
 
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Semrush: 
- Semrush offers an Authority Score metric. With a subscription, you can access the historical performance of this score along with other SEO metrics.
 
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Wayback Machine: 
- While not specifically for DA, the Wayback Machine can show you past versions of a website, which might help in understanding changes in its authority over time, especially when combined with SEO tools.
 
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SEO Analysis Platforms: 
- Some comprehensive SEO platforms (e.g., SERPstat, Mangools) provide historical data on various SEO metrics, including domain authority-like metrics.
 
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Spreadsheets and Manual Tracking: 
- If you’ve been tracking the DA over time manually, you could compare this data to see the history. This method requires regular updates and record-keeping.
 
These methods can help you track or estimate how a site's authority has evolved over time trust.