Speaking of "current research phenomena and achievements"
When the paper mentions "current research phenomena and achievements" in this field, it means that the research achievements accumulated in this field from the past to the present should be completed in the present tense, but it does not include references to specific documents, which will be explained below.
Speaking of "our research"
Our research work (not the article itself) was completed in the past, so we should use the past tense. But remember to distinguish it from research methods and research results, which is a "fact".
So you need to use the present tense.
When it comes to "specific authors and their literature"
When quoting a specific document from other authors, these authors also completed their research work in the past, so the past research work used the past tense.