There is no way to check your previous downloads on the App Store.
How Do I Find Previous Downloads On App Store?

To find your previous downloads on the App Store, open the App Store app and tap on the “Updates” tab. Then, tap on the “Purchased” section to see a list of your previous purchases.
Can I See My App Download History?
Yes, you can see your app download history.
To view your purchase history on your iPhone, iPad, or iPod touch:
Open the Settings app.
Tap your name, then tap iTunes & App Store.
Tap your Apple ID, then tap View Apple ID. You might need to sign in or use Touch ID.
Tap Purchase History.
To see purchases that you made more than 90 days ago, tap Last 90 Days, then select a date range.
Find the app that you want to know the purchase date for and tap it.
The date that you purchased the app appears next to the app.
How Do You Check Iphone History?

You can check your iPhone history by going to the Settings app, tapping on Safari, and then selecting the History option.
You can also view your history by opening the Safari app and tapping on the Bookmarks icon. Then, select the History option.
How Do You See All The Apps You’ve Ever Downloaded On Ipad?
To see all the apps you’ve ever downloaded on your iPad, open the App Store app and tap the Purchased tab.
If you’re using iOS 11 or later, you can also go to Settings > [your name] > iTunes & App Store. Tap your Apple ID, then tap View Apple ID. You might be asked to sign in. Scroll to the Purchased section, then tap Purchased.
Can You See Recently Deleted Apps On Iphone?
Yes, you can see recently deleted apps on your iPhone in the App Store.
How Do I Find Recently Installed?
There is no one definitive answer to this question. Depending on your operating system, you may be able to find recently installed programs in your system’s “Add/Remove Programs” list, in your system’s list of installed programs, or in a folder on your computer where new programs are typically installed.
What Is The Iphone App Library?
The iPhone App Library is a new feature in iOS 14 that organizes all of your apps into one simple, easy to use location. It is designed to help you find and use your apps more easily, and can be accessed by swiping to the right on your home screen.
The App Library will automatically categorize your apps into different categories, such as Social, Games, and Productivity. You can also search for specific apps using the search bar at the top of the screen.