Haiti Economic Lift Program Extension Act of 2023 This bill extends through FY2035 the special duty-free rules for Haiti. It also extends through FY2035 the duty-free treatment provided for certain apparel products assembled in and imported from Haiti. The bill directs the President to proclaim such modifications to the Harmonized Tariff Schedule of the United States (HTS) that may be necessary to restore special tariff treatment to articles that lost such treatment due to prior modifications to the HTS.