It happened shortly after midnight on Friday, November 25 at the Fresh Market located at 8200 Germantown Avenue.
Investigators released surveillance video showing the unidentified males walking toward the store.
VIDEO: Anti-Trump vandals
One suspect is seen spray-painting the building, while the other apparently took pictures or videos of the messages left behind.
Both fled on foot. The cost of the vandalism is between $3,000 and $10,000, police say.
The suspects were described by police as:
Suspect #1: White male, 20-30 years-of-age, 6'0", medium build, wearing a blue hooded jacket, gray pants, black shoes.
Suspect #2: White male, 30-40 years-of-age, thin build, reddish hair, wearing a blue blazer, tan pants, blue scarf, black shoes, and carrying a wine glass.
Anyone with information is asked to contact Philadelphia police.