A reader forward me a link to the USA FDA approved probiotics for animals [FDA page]. The official list for humans is likely further restricted.  There are web-sites that specialize in the sale of these DFMs for animal use.

Approved Probiotics DFM

FDA and Association of American Feed Control Officials (AAFCO) approved microbial species are:

• Aspergillus niger
• Aspergillus oryzae
• Bacillus coagulans
• Bacillus lentus
• Bacillus licheniformis
• Bacillus pumilus
• Bacillus subtilis
• Bacteroides amylophilus
• Bacteroides capillosus
• Bacteriodes ruminicola
• Bacteroides suis
• Bifidobacterium adolescentis
• Bifidobacterium animalis
• Bifidobacterium bifidum
• Bifidobacterium infantis
• Bifidobacterium longum
• Bifidobacterium thermophilum
• Lactobacillus acidophilus
• Lactobacillus brevis
• Lactobacillus bulgaricus
• Lactobacillus casei
• Lactobacillus cellobiosus
• Lactobacillus curvatus
• Lactobacillus delbrueckii
• Lactobacillus fermentum
• Lactobacillus helveticus
• Lactobacillus lactis
• Lactobacillus plantarum
• Lactobacillus reuteri
• Leuconostoc mesenteroides
• Pediococcus acidilactici
• Pediococcus cerevisiae (damnosus)
• Pediococcus pentosaceus
• Propionibacterium freudenreichii
• Propionibacterium shermanii
• Saccharomyces cerevisiae
• Streptococcus cremoirs
• Streptococcus diacetilactis
• Streptococcus faecium
• Streptococcus intermedius
• Streptococcus lactis
• Streptococcus thermophilus