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I can't center the entry point in After Effects or shape layer with the shortcut keys ctrl + home and crtl+shift+home.
Try Ctrl + Alt + Home. That's the shortcut that centers the anchor point. If it doesn't work, select the Pan Behind tool (shortcut key: Y), hold Ctrl and drag the anchor point towards the center. It should snap into place.
I'm not sure what you mean by entry point but I'm guessing it's anchor point.
There is a setting in preferences which will cause the anchor point to be the center of new shape layers.
(Windows) Edit/Preferences/General/Center Anchor Point in New Shape Layers.
(Mac) After Effects/Preferences/General/Center Anchor Point in New Shape Layers.
I hope that this is what you're looking for.