If understanding what this bird likes to eat is the key to all things, then just what does a Mockingbird like to eat? Mockingbirds eat insects. Easy then, we invest in bird feeder plans for and create a suet feeder or we buy one. Don't jump to conclusions because the Mockingbird likes sunflower seeds, raisins and fruit in addition to suet.
So then I guess we create a suet feeder with suet in the middle, sunflower seeds in the tray, and a piece of fruit put in for good measure. Small pieces of bread on the ground work too. My granddaddy and I did that when I was just a young girl.
My recommendation is to do exactly what was just proposed after which do these things too. This bird wants water as much as food, so you may have the best outcomes if you also place a bird bath nearby and safeguard it near some foliage. These birds aren't as relaxed out in the open and choose dense bushes and trees for a feeling of safety. While they imitate other birds, Mockingbirds need their space and are easily scared by some other birds and animals who would eat their food or be a threat to them. See our post, "Keeping the Critters Out of Your Bird Feeders", on our web site, Bird-feeder-plans.org.
These birds come in pairs too, and will build a nest together in nearby dense bushes. Mockingbirds lay small bluish green eggs and will fiercely protect the eggs and their young. Mockingbirds, like Blue Jays, will dive bomb cats if they come anywhere near the nest. They will dive bomb people too for that matter.
These birds are beginning to sound like more trouble than they are worth, but I can assure you they are worth it. They aren't migratory birds, so once they've chosen your yard, and assuming you have provided for them well, you will have company you will truly enjoy.
Though perfectly able to warble songs of their very own, you'll be amazed whenever you hear them imitate other birds, and at times even other sounds they hear. At times they will even sing all night. I know about that too from my childhood. In those days, houses in south Florida were rarely constructed with heaters, never mind air conditioning, so windows were open all the time. I can still recall waking up to all the noises the birds would make and must confess my exasperation with them would be high when they would awaken me from a sound sleep. Air conditioning has sweetened me though, and I adore listening to them in the mornings now as I enjoy my first cup of coffee on the back porch.