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The correlation femtoscopy allows one to measure the space-time characteristics of particle production processes due to the effects of quantum statistics (QS) and final state interactions (FSI). Femtoscopy at lower energies was intensively studied at AGS, SPS and in the Beam Energy Scan (BES) program. The experiments already operated and planned to be put into operation within the NICA complex have a very extensive physical program covering a lot of physics to be investigated, in particular, the femtoscopy. In the work we discuss possibilities to observe a difference from the first order phase transition expected, according some theoretical predictions, at low energies and the crossover one at high energies with the femtoscopy observables using a hybrid model. First results, mainly on pion, and also on kaon femtoscopy are also presented in the paper.