Lagrangian analysis is central to understanding how fluid particles are organized in their time evolution. Of particular interest in geophysics are rotating fluids in the presence of a radial temperature gradient, similar to those that control the dynamics of the atmosphere and oceans on a planetary scale. The phenomenon can be studied with the help of simplified kinematic models, such as Shadden’s driven double gyre, which simulates oceanic patterns, or the Bickley Jet, which reproduces the dynamics of zonal jets in the atmosphere. The use of Branched Manifold Analysis through Homologies (BraMAH) has proven useful for detecting Lagrangian Coherent Sets (LCSs) from single particle time series [Charó et al., 2019, 2020, 2021]. Here we examine how the templex approach, introduced by Charó, Letellier and Sciamarella in 2022, improves the description of the dynamics of the different particle sets.