Catch Up Our Kids Act of 2022 This bill provides tax benefits to compensate for learning losses due to school closures during the COVID-19 pandemic. The bill creates a new three-year learning loss tax credit of $1,200 per child that will allow parents or legal guardians to recoup actual expenses incurred for education-related activities, extends the employer allowance for certain tuition and education-related expenses to include educational expenses for children of employees, expands education savings accounts (ESAs) to include homeschool expenses for a three-year period, doubles the annual contribution limit for Coverdell ESAs from $2,000 to $4,000 for a three-year period, Exempts contributions to an ESA and a Coverdell ESA from the annual gift tax exclusion amount, and allows states to use unspent Elementary and Secondary School Emergency Relief (ESSER) funds to fund scholarship granting organizations.