Can "literature" be used with plural verb?

In general, available literature regarding measurement of boxers’ brain tissue performance using EEG, CT scan, and neuropsychological aspects is/are not much consistent and factors such as sample size, technical limitations and sport experience affect inhomogeneity of results.

Oxford Dictionary says that literature is uncountable. So, my question is, "Should literature be used with a plural verb or a singular verb, as in the above example, when the author means more than one piece of literature?

No, literature should be used with a singular verb. Uncountable nouns are almost always singular, even if they refer to multiple "items". This is similar to money, where even if you have multiple banknotes, you would say "The money is in my pocket."

If you're having trouble understanding why this is so, think of the literature not as each individual book or paper, but rather the combined whole.