What is the eligibility criteria for pursuing B.Tech or B.E through lateral entry?

Yes after this diploma you can take lateral entry in B.Tech Civil. The admission through lateral entry is in two ways- one through test like in IIIT, Vidya academy, DTE kerela, etc. Second, is through direct admission on the basis of your marks in diploma like in Lovely, Manipal, etc. Check the webs

You need to have a diploma in engineering