The image shows two article results from the Education Source database, which looks and functions similarly to many of the library's other databases. The first result (Is Kindergarten the new prep?...) is from Educating Young Children, a source that is considered a periodical and is labeled with the Periodical icon, which means its articles are not likely to be peer reviewed. The second result (Exploring out-of-school play....) is from Early Childhood Education Journal, which is labeled as an Academic Journal with the corresponding icon. Therefore, the article is probably peer reviewed.
Clicking on an article title (Exploring out-of-school play....) opens the article record page showing the journal name, which is also a link.
Clicking on the journal name opens a page showing publication details for Early Childhood Education Journal which includes the information that the journal is academic and peer reviewed.
Maybe you have come across a journal article in a shared online folder or through another way that does not directly involve an A&M-SA Library database and consequently you cannot look for specific icons or database labels. You can search outside the library databases to find information about journals' publishing practices.