Did you do this from the searches list or the download window?

Though Acqlite has many similarities to LimeWire. There are some notable differences.
In LimeWire 4 you could resume downloads you had stopped or cleared. I am not sure that is possible in Acqlite.

Take a look at your previous searches and try re-downloading the exact same ones. There is a chance the incomplete files still exist and Acqlite will resume them rather than start from scratch. You could also check to see that Acqlite still has them in its incomplete folder, which is inside the Acqlite download folder.

If you had finished downloading those files, then you will find them in your Acqlite download folder. Check that folder. Clearing them from the download window is simply removing them as being listed. There is an option to clear downloads automatically in preferences for example.
If you are not sure about the download location, go to the Acqlite preferences and click the Download tab, check the Save to location.
Normally what files you have downloaded during that session are found in the Downloads window. The Downloads window tab is bottom left of main screen.

Unfortunately Acqlite does not possess a library which shows files you have downloaded from other sessions. Nor does it say if or how many files you are sharing or a share window to show the files you are sharing. The only share option is in preferences to select a folder.