From Fensome et al., 2019:
Achomosphaera linifera, (Cookson and Eisenack, 1967b, p.253, pl.40, fig.9; pl.41, figs.7–8) Stover and Evitt, 1978, p.138–139.
Holotype: Cookson and Eisenack, 1967b, pl.41, fig.8.
Originally Baltisphaeridium (Appendix A), subsequently Taeniophora, thirdly (and now) Achomosphaera.
Age: Late Paleocene.

Locus typicus: Victoria; Pebble Point to Princetown Coastal section; W. Australia

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Original description as Baltisphaeridium liniferum: [ Cookson and Eisenack, 1967, p. 253]:

Diagnosis:
Shell slightly oval with a moderately thick, faintly granular to smooth wall, an apical archeopyle and a variable number of solid appendages of variable size and shape. The appendages, which are generally solid throughout their length, bi- or trifurcate distally into short or longish thread-like branches, with pointed or bifurcate tips. The bases of the appendages, which occasionally may be hollow, are frequently broadened and root-like and characteristically connected with those of neighbouring appendages, by narrow straight or curved strands which, in some deeply stained examples, appear as lightish lines on the coloured surface.

Dimensions:
Holotype - overall width c. 108 µm; shell c. 67 µm long, c. 75 µm broad; appendages c. 16-30 µm long.
Range - shell c. 65-75 µm broad, appendages c. 12-27 µm long, c. 1-3 µm wide.

Affinities:
This species differs from T. iunctispina in having relatively short, wide and always furcate processes.