Because the loads are transferred to the bottom hinge and the bottom hinge is closer to the ground the gate ends up more.
Making a cross brace barn door.
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In compression loads are distributed over the end cross section of of the brace as well as the screws nails that greatly reduces the overall rate of fibre compression which means it will sag less and last longer.
Do the same with the other piece.
Place one of the cross brace pieces under the frame exactly where you want it using bits of scrap to support the door frame and hold it level on top of the cross piece.
Make the door frame to fit the opening assemble the frame only no batten boards no cross braces.
Follow this tutorial on how to build a sliding barn door from toh senior technical editor mark powers.
The name describes the shape formed by the boards used to brace the parallel door boards and keep them from sagging or warping due to gravity when the finished door is hung from hinges.