A Patriarch of an Eastern Church is entitled to be made a Cardinal by rite of his election as patriarch.
A Major Archbishop is not so entitled. They can be made cardinals as the Pope deems fitting.
According to
gcatholic.com:
Syro-Malabar: # Major Archbishop: Cardinal Mar Varkey Vithayathil, C.SS.R. (81)Cardinal Mar Varkey Vithayathil, C.SS.R. (81) (1999.12.18 – …)
Romanian: Major Archbishop: Major Archbishop Lucian Mureşan (77)Major Archbishop Lucian Mureşan (77) (2005.12.16 – …)
Ukrainian: Major Archbishop: Cardinal Lubomyr Husar, M.S.U. (75)Cardinal Lubomyr Husar, M.S.U. (75) (2004.12.06 – …)
Syro-Malankar: # Major Archbishop: Major Archbishop Baselios Mar Cleemis Thottunkal (49)Major Archbishop Isaac Mar Cleemis Thottunkal (49) (2007.02.10 – …)
So the Romanian and Syro-Malankar Major Archbishops are not Cardinals at present, and the Ukrainian and Syro-Malabar are.