Chie Nakamura and her collaborators from various institutions have published a paper on second language syntatic processing. It appears in Frontiers in Psychology. Check it out at the link below.
Nakamura C, Arai M, Hirose Y and Flynn S (2022) L2 Learners Do Not Ignore Verb’s Subcategorization Information in Real-Time Syntactic Processing. Frontiers in Psychology 12:689137. doi: 10.3389/fpsyg.2021.689137