Parts kit for a liposuction and adipose tissue lipoinjection apparatus, said parts kit comprising: (A) an extraction unit comprising a liposuction device (10) having: (a) a substantially linear hollow elongated cannula ( 1) with an interior light extending along a longitudinal axis X, from a first inlet end (1i), provided with one or more openings (11) to aspirate adipose tissue of said light, to a second end of outlet (1o), located at the opposite end of the elongated body, said cannula being coupled with a fixing means (1c) to (b) a motorized handle suitable for imparting a given movement to the inlet end (1i) of the cannula, ( B) a separation unit, comprising a container (4), provided with a separation means (4f) for separating in a retained volume a selected part of the adipose tissue of liquids and other unwanted solids, (C) a unit of reinjection that I bought n of a lipoinjection device (100) comprising a cannula, as defined in point (A) (a) above, coupled to a handle； (D) a vacuum pump (5a) suitable for creating a vacuum in the lumen of the cannula (1) of the liposuction device (10) sufficient to aspirate adipose tissue from a location of a body, (E) a piston pump of reinjection (5b) suitable for bringing said selected part of adipose tissue from the container (4) in the light of the cannula of the lipoinjection device at a pressure sufficient for the injection of said selected part of adipose tissue into a location of a body, and (F) a pipe for connecting the different elements of the parts kit together to form a liposuction and adipose tissue lipoinjection apparatus, characterized in that the motorized handle of the liposuction device is suitable for imparting to the inlet end ( 1i) of the cannula a vibratory movement comprising a first linear component of a forward and backward oscillating movement along the longitudinal axis X, at a frequency of e between 10 and 500 Hz and a second orbital component around the longitudinal axis X, and why, the Parts Kit a
