The invention relates to a turbine engine that includes at least first and second lift turbine stacks with transverse flow. The shafts of adjacent turbines in the first stack are connected by a first coupling device adapted for compensating space misalignments, and the shafts of adjacent turbines in the first stack are connected by a second coupling device adapted for compensating for space misalignments. The turbine engine includes a device for supporting the first and second turbine stacks, which is symmetrical to said plane, and a control device adapted for permanently maintaining the symmetry between the first and second turbine stacks relative to the plane, and for maintaining the rotation speeds of the first and second turbine stacks at equal values in opposite rotation directions.