No Traditional Mass ever has or ever will give communion under both species. If it was given, it would no longer be a Traditional Mass.
No traditional Latin rite Mass.
Communion under both Species is the normal practice in the Eastern rites. Trent says that it is heresy to maintain that both Species are necessary, or that one does not receive the Body and Blood of the Lord in one Species. It doesn't say that there is anything wrong with both Species essentially.
The Church could never maintain that there is anything wrong with
sharing the Body and Blood under both species. To do so would
contradict the Words and actions of Our Lord. It's rather unsettling
to see that merely saying such in a prior post has received 3
Unleavened bread did not even appear in the Latin Rite
until the 9th century. Before that, the breaking of bread was literally the
breaking of leavened bread baked in homes. The wafer-thin hosts
confected by monks and nuns did not appear until the 12th century.
(paraphrased from The Mass: Its Rituals, Roots and Relevance in Our Lives
Joan Carter McHugh, pp. 223-224).
The practice of giving Holy Communion only in the form of bread became
dominant in the Western church of the 13th century. Only the celebrant
communicated from the chalice, though this custom was contrary to the
practice of earlier centuries. (paraphrased, ibid. pp. 230-231)