The QCD phase diagram was explored in certain regions of the parameters of space by different experiments and a critical point in this diagram is a theory-based prediction. In the Nuclotron-based Ion Collider fAcility (NICA) the Multipurpose Detector (MPD) is currently under construction intending to confirm this prediction. Motivated by the low trigger efficiency in low multiplicity p+p collision events given by the Fast Forward Detector (FFD) of MPD, a complementary detector is proposed (BeBe). BeBe is constituted of two plastic scintillator hodoscopes (80 cells each) symmetrically at opposite sides of the interaction point. The simulated geometry for the BeBe detector shows a good performance in triggering, event-plane, and centrality measurements. Our results suggest that at NICA energies, the proposed BeBe detector can be used in stage 2 of NICA operation for beam monitoring in p+p and heavy-ion collisions with excellent trigger efficiencies for both systems [arxiv:2110.02506, already accepted for publication]. The experimental techniques and methods to determine the BeBe performance will be described in this talk.