First, I would starch and iron the background fabric. You want to let it shrink if it's going to. Then use a fusible stabilizer and fuse it to the back of the background fabric. There are different brands that will work.
After the background fabric is fused, I like to hoop it with no show mesh as it is lightweight and can be left in the quilt block. Hoop the stabilizer and the background fabric together. You don't want it over-tightened or floppy either. Movement will cause puckers. You can also use a sticky back-tear away instead of no show mesh.
https://www.kreativekiwiembroidery.c...-projects.html
Is the logo dense? or an applique design? I would add a layer of W/S (water-soluable) stabilizer. It can be floated on the top of the background fabric. It will "hold" the stitches and keep them from sinking down into the the design. Use a piece of tape on the four corners to hold in place while the design starts stitching.
You can also float a piece of tear-away on the back of the hoop if the design is dense.The additional products and time to stabilize the project will give you better results-in my honest opinion. I am including a reference that I use for determining the process.
https://rnk-floriani.com/workbooks-guides.php There are 4 different guides for your review. I like the products and use them most of the time.There are also pellon products that can be fused onto the background. Good luck!