There are more words but they are from Tolkien's earlier conceptional periods. Tolkien likely changed these words as he evolved the aesthetics and completeness of the languages. You may even find languages that Tolkien later rejected. Do not mix words from different time periods unless you are familiar with the phonetic developments.
thlid-
verb. to sort out, sift, sieve, discriminate
thlid
noun. sieve
A noun appearing as G. thlid “sieve” in the Gnomish Lexicon of the 1910s derived the early root ᴱ√SḶTḶ (GL/73; QL/84).
Neo-Sindarin: I would adapt this Gnomish verb as ᴺS. lhîd “sieve” based on a neo-root ᴺ√SILIT, since in Tolkien later Sindarin phonology, initial *sl* became *lh* rather than thl.
Below: Tolkien's Late Period (1950–1973). These are from Tolkien's late conceptual period — his most settled forms of the languages. Prefer these over the earlier ones above when composing new text.
A verb appearing as G. thlid- “to sort out, sift, sieve, discriminate” in the Gnomish Lexicon of the 1910s derived the early root ᴱ√SḶTḶ (GL/73; QL/84).
Neo-Sindarin: I would adapt this Gnomish verb as ᴺS. lhid- “to sort out, sift, sieve, discriminate” based on a neo-root ᴺ√SILIT, since in Tolkien later Sindarin phonology, initial *sl* became *lh* rather than thl.