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You can use the following construct to draw the error bars yourself using any collection of geometric shapes available:

hw = 1; (* the width of the ticks *)
ErrorListPlot[data, ErrorBarFunction -> Function[{coords, errs}, {
  (* the vertical line: *)
  Line[{coords - {0, errs[[2, 1]]/2}, coords + {0, errs[[2, 1]]/2}}],
  (* horizontal tick 1: *)
  Line[{coords - {hw/2, -errs[[2, 1]]/2}, coords + {hw/2, errs[[2, 1]]/2}}],
  (* horizontal tick 2: *)
  Line[{coords - {hw/2, errs[[2, 1]]/2}, coords + {hw/2, -errs[[2, 1]]/2}}]
}]]