Synonyms for Overeat:

n.

mainline, snarf, feast, feast on, feed your face, go through, put away. overeat (noun)
gorge, binge, glut, overgorge, gormandise, gourmandize, satiate, ingurgitate, stuff, gormandize, overindulge, englut, engorge, pig out, scarf out.
overindulge (noun)
eat.

v.

eat too much (verb)
feast, overindulge, pig out, binge, gourmandize, gorge.

Other synonyms:

eat, feast on. mainline. put away. go through. feast. englut
englut.
pig out
scarf out.
Other relevant words:
mainline, eat, snarf, feast.