Learn Turkish: Eser, eleştirmenler tarafından nasıl değerlendirildi? - How was the work evaluated by the critics?

Yes! You could say eleştirmenlerce instead of eleştirmenler tarafından. Both mean 'by the critics.' Tarafından is very common for specific agents, while the -ce suffix attached to plural groups (like critics, authorities, or committees) is often used in formal, written, or journalistic Turkish.

How is the verb değerlendirildi formed? It looks really long!

It is built from the noun değer (value). From that, we get the verb değerlendirmek (to evaluate or assess). Then we add the passive suffix -il to make değerlendirilmek (to be evaluated), and finally the past tense suffix -di (was). So, değerlendirildi means 'was evaluated.'

Does eser mean 'work' in the sense of a job or daily tasks?

No, eser specifically refers to a 'work of art,' a 'literary work,' or a 'creation.' If you are talking about 'work' as in your job or the tasks you do at the office, you would use the word iş.

Why doesn't eser have an accusative case ending if it is the thing being evaluated?