Is two years of work experience required for my application in USA for a Master's/Bachelor's?

It depends. Most master's programs in psychology in the USA typically expect at least one year of research experience, not necessarily two years of work experience. Some programs, especially in clinical psychology, may prefer or require 1 - 2 years of professional experience in mental health or related fields.

With your background - bachelor's in psychology, 6.2 GPA, two backlogs, and 24 months of work experience - you likely meet or exceed the experience requirements for many programs. However, admissions also consider academic performance, research experience, and fit with the program.