In the second volume of his series Logistical Support of the Armies, Roland Ruppenthal provides a table of materials shipped into Europe from June 1944 to April 1945, broken down by port (including the beach supply at Omaha Beach and Utah Beach which is often omitted from other works):
There is further detail about the minor ports in a further table, although it doesn't provide a monthly breakdown:
If you are interested, he provides a more detailed breakdown of the early phase of the beach supply (from 6-30 June 1944) in the first volume of the series:
You'll have noticed that the data is provided:
"Exclusive of bulk POL [Petrol, Oil & Lubricants] and vehicles".
Although these are discussed in the text, Ruppenthal doesn't provide the information in a readily accessible, tabular format. Fortunately, further detail on POL (Petrol, Oil & Lubricants) and vehicles discharged to the European theatre are to be found in the charts attached as appendices to The Operation, Organization, Supply, and Services of the Transportation Corps in the European Theater of Operations which is available online as a pdf document for download. The following charts are taken from that document:
Unfortunately there doesn't seem to be a monthly breakdown for the vehicles landed.
This document also has some information about daily consumption rates during the latter stages of the war in Europe which you might find of interest.
The British Mulberry Harbour, Mulberry B (a.k.a "Port Churchill") at Arromanches-les-Bains continued to operate until 19 November 1944. This operated in addition to the figures mentioned in the US Report above, and achieved a daily discharge rate of up to 12,000 tons (corresponding to a monthly rate of about 350,000 tons) over that period. This was broadly comparable with the figures achieved by the harbour at Omaha Beach.
On a side note, there is an interesting review of the design, construction and deployment of the Mulberry Harbours in The Mulberry Harbours by Sir Bruce G. White who had been a part of the team involved in their planning and design.
One further source that has interesting source material and analysis that you might find useful is Lt. Col. John Larkins' An Historical Analysis of Port & Beach Operations in the European Theatre of Operations WW2, published by the US Army War College in 1983. Of particular interest is the discussion of the challenges experienced in opening the Channel ports to Allied re-supply operations.
- Larkins, John G: Entering a Continent: An Historical Analysis of Port & Beach Operations in
the European Theatre of Operations WW2, US Army War College,
- Ruppenthal, Roland G: Logistical Support Of The Armies, Volume I:
May 1941 - September 1944, Center of Military History, United
States Army, 1995
- Ruppenthal, Roland G: Logistical Support Of The Armies, Volume II:
September 1944 - May 1945, Center of Military History, United
States Army, 1995
- US Army: The Operation, Organization, Supply, and Services of the
Transportation Corps in the European Theater of Operations, 1945