Final answer:
Bloom syndrome is the autosomal recessive disorder known to be associated with an increase in sister chromatid exchanges.
Step-by-step explanation:
The autosomal recessive disorder known to be associated with an increase in sister chromatid exchanges is Bloom syndrome. Sister chromatid exchanges occur when parts of chromatids exchange genetic material during meiosis. Bloom syndrome is a rare genetic disorder characterized by stunted growth, increased risk of cancer, and sensitivity to sunlight.