Sage Sankriti is the founder Rishi of the Sankriti Gotra. The lineage of Sankriti's is given as Shaktya, Sankritya, and Gaurivita. i.e. lineage of Shakti, Sankriti, and Gauriviti.
Sankriti is the Grandson of Sage Vashishta, and the son of Śakti Maharṣi. Incidentally, Śakti Maharṣi is the father of Sage Parashara (the father of Sage Vyasa.)
There is not much known about Sage Sankriti except that his name figures in the Avadhuta Upanishad, where Lord Dattatreya explains the nature of an Avadhuta to Sage Sankriti.
Gotra, Sankritya or Sankrita may be from Sankriti.
Pitamagara or Bhishma, the son of Ganga also belongs to this gotra.