Woven fabrics are created when two sets of yarns Warp and Weft interlace at right angles. Like the placemats you made in grade school.
Non woven fabrics fibres are interlocked to create a fabric. So instead of taking fibers, spinning yarns and weaving or knitting the yarns. You go right from fiber to fabric. Wool felt is a good example the scales on the wool tangle, heat and pressure allow the fibers to become a fabric. Synthetic fibers can also create non woven fabrics, as they melt and a web of fibers can be heated so they are locked together by melting to create a fabric- Fed Ex envelops are actually a fabric created from olefin fibers.
Knit fabrics are created by looped yarns. They have more stretch than woven fabrics.