Place the shredded mozzarella and cream cheese in a microwave-safe bowl. Microwave in 30-second intervals, stirring in between, until fully melted and smooth.
Transfer the melted cheeses to a food processor. Add two of the eggs along with the dry ingredients. Process until the dough is smooth and uniform. If it is too wet, add some more almond flour until it is easier to work with.
Turn the dough onto a lightly almond-floured surface. Divide the dough into 8 equal pieces. Roll each piece into a log and form a bagel shape by connecting its ends.