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The short-time (10-4 – 102 s) variations of gamma-quantum (0.02 – 3.0 MeV) and relativistic (0.3 – 10.0 MeV) electron fluxes were observed during Vernov and Lomonosov missions. The similar detectors based on NaI(Tl)/CsI(Tl) phoswich of 13.0 cm diameter and 2.0 cm total thickness (0.3 cm NaI(Tl)/ plus 1.7 cm CsI(Tl)) were used in both missions for study different kinds of transient phenomena, such as GRBs, TGFs, Solar Flares and magnetosphere electron precipitation. Four gamma-ray detectors on-board Vernov satellite had a total area of about 480 cm2, and were directed toward to the Earth atmosphere (in local Nadir). They were used especially for TGF observations. These detectors were also able to detect precipitated and quasi-trapped sub-relativistic and relativistic electrons. The several dozens of TGF candidates were selected as satisfied the trigger condition, i.e. more than 5 gamma-quanta detected for a 400 mcs exposure time in one detector with 120 cm2 area. Possible connection of these events with TLEs detected by DUV instrument and lightning observed by WWLN is discussed. Quasi-trapped and precipitated electron flux short-time variations (burst-like) were observed regularly in different areas of the near-Earth space. The time and energy spectrum parameters of such events observed in Vernov mission are presented. The first results of Lomonosov mission on TGF-like events and electron flux short-time variations are also discussed.