This syncopation rhythm - and any other rhythm - has to be not only in your arm, hand and fingers, it has to be in your whole body, flesh and blood or heart and soul.
Start by slapping your hands on your knees counting 4th notes, first
both hands together, 1,2,3,4, than l.h. only 1 and 3, r.h. only 2
and 4, than the same with 8th and 19th notes.
same exercices as above but longer sequence ( 2 measures) and skipping the l.h., only r.h. off beat.
you can also count or sing instead the numbers da,da,da, (on beat: 1 3 5 7) and ba,ba,ba (off beat: 2 4 6 8) and invent syncopated rhythms like daba daba da da daba daba daba -ba -ba
By this approach you will be able to analyze, play and feel any rhythm. This means: stamp your feet, clap your hands, snip your fingers, count and sing ...
another approach just to learn this passage:
Play and sing both voices (parts) together as it would be written as only one voice. You will hear out the first voice by playing this and when you have to play ensemble with your teacher or another musician you will be in time.