We call this type of bags as ‘Surrukku pai’ in our language. Surrukku means tightening with rope and pai means bag or pouch. I designed and embroidered a few some time ago. The fabric is linen bought from IKEA. The bags were sewn by my tailor, [by the way, he is back from Pakistan] with lining.
Pattern- Similar to pattern found on upholstery.

pattern for bag1

pattern for bag1

Pattern traced on cloth with yellow carbon.

pattern on bag1

pattern on bag1

I used polyester variegated thread to work this pattern in chain stitch, stem stitch, buttonhole stitch and straight stitch.

embroidery on linen bag1

embroidery on linen bag1