  We discuss a \Lambda-like model of atomic levels involving two autoionizing
(AI) states of the same energy. The system is irradiated by two external
electromagnetic fields (strong -- driving and weak -- probing ones). For such a
system containing degenerate AI levels we derive the analytical formula
describing the medium susceptibility. We show that the presence of the second
AI level lead to the additional electromagnetically induced transparency (EIT)
window appearance. We show that the characteristic of this window can be
manipulated by changes of the parameters describing the interactions of AI
levels with other ones. This is a new mechanism which leads to additional
transparency windows in EIT model, that differs from the mechanism, where a
bigger number of Zeeman sublevels is taken into account.
