can anyone name all the allowed mods for the 1.9-1.12 category

Here is a list for allowed 1.11 mods, if you need different version you can check them here too:
https://redlime.github.io/MCSRMods/?version=1.11

legacy fabric loader for 1.11.2 is allowed by mods?

Yep, it is stated it the rules
"Legacy Fabric Loader is allowed for versions 1.0 through 1.13"

1.11.2 mods

BSRF

maskers

FrustratedF

Minecraft: Java Edition

Zelario12

FishEyess

nsla

ILikeCuteCats

1.2.1

1.2.2

1.2.3

1.2.4

1.2.5

1.3.1

1.3.2

1.4.2

1.4.4

1.4.5

1.4.6

1.4.7

1.5.1

1.5.2

1.6.1

1.6.2

1.6.4

1.7.2

1.7.4

1.7.5

1.7.9

1.7.10

1.8.1 Easy

Normal

Hard

Hardcore

1.8.2

1.8.3

1.8.4

1.8.5

1.8.6

1.8.7

1.8.8 4 Players

5-9 Players

10+ Players

1.8.9

1.7.6

1.7.7

1.7.8

1.9.1

1.9.2

1.9.3

1.9.4

1.10

1.11.2

1.11

1.12

1.12.1

1.12.2 2 Players

3 Players

1.7.3 Set Seed

Random Seed

1.0-1.6

1.8-1.11

No F3

1.13

1.13.1

1.13.2

1.10.2

1.14

1.14.2

1.14.3

1.14.4

1.15

1.15.1

1.15.2 Pre 1.8

1.13-1.15

Pre 1.9

1.14+

1.9-1.15

Vanilla

Version

Difficulty

Players

Seed Type (Any% Glitchless)

Version Range (AA)

Seed Type (Any%)

Seed Type

Seed Type (Any% Glitchless Peaceful)

Seed Type (AA)

Version Range (AAdv)

Seed Type (AAdv)

Version Range (Any% Glitchless)

Version Range (Any%)

Version Range (Any% RSG Co-op)

Mods

Version Range (Any% Glitchless (Peaceful))

Version Range (Any% (Peaceful))

Version Range (Any% Glitchless (Demo))

Player Count (AAdv Co-op)

Seed/Glitch (AAdv Co-op)

Version Range (AAdv Co-op)

Seed Type (Combined Any%)

Seed Type (Any% Time Travel)

Seed type (Any% Glitchless Co-op)

Splits (Combined Any%)

If you save & quit/close the game at any point during the run, choose External.

Internal/External (Any%)

## Updated Legal Mods

- (**1.20-1.21**) Sodium 0.5.10 for 1.20.1, and Sodium 0.5.9 for 1.20.6 and 1.21 have been added.
- (**1.21**) Krypton 0.2.7 & FabricProxy-Lite 2.8.0 have been marked as compatible with 1.21.
- (**1.3.1-1.16.1**) Extra Options 2.0.0: Moved config storage to a new file outside 

Legal Mods & Extra Options Updates

Updated Legal Mods

Minecraft

Minecraft Speedrunning Questions Thread

Form for requesting custom map / server leaderboards

Are slowruns still allowed?

Piechart bugged

Help With OBS Magnifier

what mods can I use?

Awesomecuber

AprilSR

skylewl

draconix

nwolc

Luminosity

ElRichi

DrGuy

Keima

Winrar

Specnr

AlEmeralds

audioSalix

gaylea

luvvlyjude

taffel

Hayley

tildejustin

drip120

the_yuukster

r0hkx

Leonn

Zeekoe

leto_saa

Olock5

Deadpool

canoeli

HjHome

imightbedamian