Not surprisingly most countries want to be self sufficient with food production, so tarifs on food imports makes sense.
Unfortunately though I don't think US tarifs are the solution here. Leaving aside that antagonizing the end-consumer seems unproductive (eg canada) there's also a perception in Europe that US food products (especially meat) are of low quality.
Whether that perception US true or not US immaterial. (My own visits to the US and experience of US food would suggest the US optimizes for quantity not quality, but anecdotes are not data.)
Much of the barrier with exporting beef are the higher food standards, and documentation, required in Europe. Lowering the standards doesn't seem to be politically acceptable either.