Time-resolved continuous wave EPR signals of two consecutive radical pairs are found in the linear response limit. Numerical simulations of the EPR observables visualize two characteristic features. First, there is a shift of a phase of quantum beats of the EPR line intensities of the secondary pairs. This phase shift originates from a certain time delay in a formation of the secondary pairs (due to time spent by electron spins in the primary radical pair state) and from the difference of the spin dynamics in the secondary and the primary pairs. This phase shift might be detected even in the cases when the primary radical pair has the very short lifetime and, as a result, the EPR spectrum of the primary pair cannot be detected directly. Second, for two consecutive radical pairs, there might be a pronounced non-equality of intensities of EPR lines at the EPR resonance frequencies of the secondary pairs. Indeed, in a case of two consecutive pairs there is the additional mechanism which induces the non-equality of the EPR line intensities: a polarization transfer from the primary to secondary pair and the change of a electron spin quantization axis when a primary radical pair transforms to a secondary radical pair. A possibility to detect experimentally these features of the EPR signals when studying consecutive charge separated states in photosynthetic reaction centers is discussed briefly.