If your domain authority has not changed despite adding your website to directories, there could be several reasons for this:

Time Frame: Domain authority changes can take time to reflect, especially if your website has recently been added to directories. It may take several weeks or even months for search engines to crawl and index the new backlinks from these directories.

Quality of Directories: Not all directories are created equal. If the directories you've added your website to are low-quality or spammy, they may not have a significant impact on your domain authority. Focus on submitting your website to reputable directories that are relevant to your industry or niche.

Quantity vs. Quality: While it's important to have a diverse backlink profile, quality is more important than quantity. A few high-quality backlinks from authoritative directories will have a greater impact on your domain authority than numerous backlinks from low-quality directories.

Other Factors: Domain authority is influenced by a variety of factors, including the quality of your website's content, the relevance of your backlinks, the age of your domain, and more. Adding your website to directories is just one aspect of improving your domain authority.

Algorithm Updates: Search engine algorithms are constantly evolving, and changes in domain authority may not always be directly tied to your actions. Keep an eye on your website's performance and continue to focus on creating high-quality content and acquiring relevant backlinks over time.

If you've added your website to directories and are still not seeing a change in domain authority, it may be helpful to conduct a comprehensive SEO audit to identify any potential issues or areas for improvement. This could involve analyzing your website's backlink profile, optimizing on-page SEO elements, improving content quality, and more.

You can check the age of a domain using various online tools. Here's how you can do it:

WHOIS Lookup: WHOIS databases contain registration information for domain names. You can use WHOIS lookup tools like whois.net or whois.com to find out the creation date of a domain. Simply enter the domain name into the search field, and the tool will provide you with information about the domain, including its creation date.

Domain Age Checker Websites: There are several websites specifically designed to check domain age. Examples include Domain Age Checker (https://www.domainagechecker.com/) and Small SEO Tools (https://smallseotools.com/domain-age-checker/). Just enter the domain name into the search bar, and the tool will display the domain's age.

Web Archive: The Wayback Machine (https://archive.org/web/) allows you to view archived versions of websites over time. While it won't give you the exact creation date, you can often see the earliest snapshot of the website, which can give you an idea of its age.

Domain Registrar: If you know which registrar the domain is registered with, you can sometimes check the registration date directly through their website or by logging into your account if you're the domain owner.

These methods should help you determine the age of a domain. Keep in mind that some tools may provide slightly different information, so it's a good idea to cross-reference the results if possible.

To check the Domain Authority (DA) history of a website, you can use tools like Moz's Link Explorer or Ahrefs. Here's how you can do it:

Moz's Link Explorer:

Go to the Moz website and navigate to the Link Explorer tool.
Enter the domain of the website whose DA history you want to check.
Once the results are displayed, navigate to the "Inbound Links" tab.
Here, you'll find the DA score displayed along with a graph showing the DA history over time.