To my suprise, the US comes in 9th place in barley production.
The Russian Republics come in 1st place with over 17,000,000 metric tons, Canada 2nd place with over 13,000,000 tons. Germany 3rd with nearly 13,000,000 tons, Ukraine 4th with 11,000,000 tons, followed by France, Spain, Turkey and Austrailia. (with between 6,000,000 and 9,000,000 tons each.)
And with just a couple hundred tones more production the UK barley production would exceed that of the US. My guess is that most other EU countries are importing their barley from Russia, Ukraine, and Turkey. Only Germany and the UK are both high producers of both barley and beer in the EU. But Belgium, Denmark, the Netherlands and many more are well known for their beer. And perhaps having a somewhat low barley crop explains why BMC all dump in all that rice in the US.