the fabric weave by dyed yarn called yarn dyed fabric

yes

Jacquard is a type of weave usually with a pattern on it. Each yarn is a different color and are woven together creating a pattern. Yarn dyed sheets were dyed in the yarn stage not dyed as a whole sheet like cheaper sheets would be.

According to color, pure cotton can be divided into plain cotton, white sheeting, yarn-dyed fabric and print fabric.

Plain cotton is dyed by one single color, and there is no pattern.

White sheeting is the fabric which treated with bleaching.

Print fabric is the fabric which treated with printing process. The pattern is clear and color is bright in front while fuzzy and dark on the other side.

Yarn-dyed fabric is called yarn dye in Japan. Most fabric is dyed after piece goods, while yarn-dyed fabric dyes the cotton yarn first and then spinning. We often see some fabric such as plaid fabric and chambray are all belonged to yarn-dyed fabric. Actually, jean also belongs to yarn-dyed fabric, and it is usually dyed from indigo warp yarn and natural color weft yarn.

Basically neps is a problem of yarn but it may be a ornamented yarn if it can be arranged in a organized way.

As for example: (95%Cotton+5%Polyester) Neppy Yarn

Base yarn is cotton & if some dyed polyester of different color can be sprayed throught its length & base yarn is dyed then one kind of neppy effect will be visible throughout the length of the yarn. This yarn is called Neppy Yarn.