I have set up 7 logic apps for 7 different storage containers. The logic apps copy new blobs in specific containers to specific folders in a shared drive.
5 of the 7 work without issues. 2 of them report a status of "Skipped" even after a new blob has been added to the storage account container.
1 of the 2 containers with issues has over 50K blobs and the other has over 70K blobs. The others all contain under 1K each.
When adding new blobs to these 2 containers, I expect to see statuses stating "Succeeded", but they are always "Skipped" and the blobs are not copied
I have tried cloning and amending a working logic app, and also tried creating them from scratch, but the status is always "Skipped".
To test the configuration, I have tried editing the 2 logic apps and pointed them to newly created containers and folders, and added a blob to these new containers, and they work.
Logic App Configuration

I do agree with @Skin that to raise a support request In Microsoft Azure , but the design which you are using is right as I get the logic app workflow triggered when used similar design . Below is the design which is slightly different and try this:
Design:You can add more than one event too: