I've got a lot of files on my phone app stored as recent and I've added done to document cloud and I've brought a laptop and downloaded the Adobe acrobat reader DC but I only can see some old files and none off my phone that I need are transferring over to document cloud on the laptop .
In Acrobat Reader look at the files in the Document Cloud.
As you have confirmed that files are saved on the Document Cloud storage and not visible in the Adobe Acrobat Reader DC app, so there could be a possibility that you have signed in under a different email in the Reader mobile app. Kindly check the email if it is the same or not. Also, look for the files under Document Cloud. on the left-hand pane.
Let us know if that helps.
Thanks for confirming that you found all your files. As you said that you find it difficult to edit on the laptop than on the iPhone it is because the mobile app has limited features than the desktop app. The particular workflow that you are trying to do needs the desktop app.
Here is a help document you can refer to understand the editing in Acrobat DC: