This is not as trivial as one would hope for quite a simple reason, COM objects are internal objects, and do not expose their implementation details by exporting functions.
Instead, COM provides an interface to create COM instances of a specific class using a class UUID (commonly known
CLSID) as means to identify a COM class.
COM objects are created by calling
CoCreateInstance documented here.
The returned object is a C++ object implementing a set of APIs exposed as a virtual function table for that COM object, so there's no need to export those functions and that's you can't find them using IDA's exports view.
Side note: Although COM related reversing questions are not at all too scarce, there are a lot fewer questions related to reversing COM classes. Most COM related questions involve attempts to reverse engineer software using COM, while it appears the OP is trying to reverse engineer a COM class. I guess this is somewhat because most COM classes are documented to some extent.
DLL Export Viewer results
As documented here, DLL Export Viewer supports reading COM Type Libraries from type library resources embedded inside the DLL. I'll describe COM Type Libraries in a few paragraphs and you'll see how you could get that data in IDAPython.
From the original site:
Actually reverse engineering a COM provider
Although your question was a bit misguided, there are still several resources that could help you RE COM object providers.
Some resouces are available for in-depth COM understanding (and therefore reversing) online, such as MSDN's basic COM development guide, Microsoft System Journal about come type libraries
First, for basic understanding of COM objects and ability to browse COM objects defined on your machine you should try using Oleview, downloadable as part of windows Driver Kit or similar.
OleView.exe lets you list installed COM objects, the interfaces they provide (which describe the actual methods implemented by that COM object), each COM object's class ID, etc. If you can find your COM object here, it'll greatly help you in later stages.
Class informer plugin
Using the class informer IDA plugin, you might be able to find RTTI information for your COM object. This will help you find and partially map your COM object's Virtual Function Table (which, again, describes available functionality of a COM object by actually pointing to the implementation methods). Using IDA's builtin COM Helper plugin might also be useful.
Manually parsing type library files (*.tlb) using python
Although this is roughly what Oleview.exe (and the likes) are doing, you could manually parse any
*.tlb file you find (usually located near the COM DLL or embedded as a resource inside it) to get the information you're interested in (including offsets in the binary where functions are implemented).
A python module called
pythoncom exists for that, as part of the python for win32 extensions. Documentation is here, and the module can be downloaded here