This work examines the formation and evolution of meteoroid streams formed during collisions of near-Earth asteroids (NEAs) with objects in the Main Asteroid Belt (MAB). This collision scenario is considered more likely compared to collisions between NEAs, since many NEAs, by virtue of their origin, intersect the MAB region, in which the density of objects is significant compared to the inner regions of the Solar System. The resulting meteoroid streams have a number of differences from streams of cometary origin, both in terms of the formation of the stream and during further dynamic evolution. In this paper, estimates are obtained for the rate of meteoroid formation as a result of collisions of NEAs with MAB asteroids. Based on high-speed collision models and data from the DART experiment, possible particle size and velocity distributions are obtained. Numerical modeling of the dynamics of the resulting meteoroid stream was carried out, considering gravitational disturbances and radiation forces, and the influence of the initial emission velocity on the evolution of the stream was studied. An analysis of the rate of dust production was carried out considering the distribution of the current NEA population, and it was concluded that the rate of influx of meteoroids of asteroid and comet origin (in mass terms) can be quite comparable.