Access to Healthy Food for Young Children Act of 2021 This bill revises several provisions related to the Child and Adult Care Food Program. These revisions include increasing reimbursement rates; requiring reimbursements to be adjusted annually to reflect the Consumer Price Index for food away from home, rather than the Consumer Price Index for food at home used under current law; providing for an additional meal service to be served in child care settings with eight or more hours between the first meal service and the beginning of the fourth meal service; expanding geographical eligibility for tier I family or group day care homes; and requiring the Department of Agriculture to establish an advisory committee to examine the feasibility of reducing unnecessary or duplicative paperwork for those participating or seeking to participate in the program. The bill also provides funding to (1) provide nutrition training and technical assistance under the program, and (2) increase the participation of children from underserved communities.