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Preheat oven to 225
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Heat skillet over medium to medium-high heat and melt butter and olive oil together
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Liberally salt and pepper short ribs
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Sear each side of each rib (I had 4 and did 2 at a time) on all sides - do this in batches so they sear and caramelize rather than steam
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Set each batch aside - I did it in two batches
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When all meat is removed, add the tomato paste and whisk for a minute or so until melted
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Add flour and whisk for another minute
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Return meat to pan and add beer and thyme
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Cover and transfer to oven for 3 and a half hours
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Add carrots and onions and return to oven for another 1 1/2 to 2 hours