At OceanofRagas there are 8 such ragas . ( Lachari Todi , Santuri T , Anjani T ...)
The dilema is where to find the Todi-and in their phrases ...
At the Desi page of Parrikar there is a partial explanation for my inquiries :

" Desi is sometimes denominated as ‘Desi Todi’ but the modern form carries no trace of the Todi-anga "

"As in the case of Desi, the “Todi” appellation is misleading because there is no Todi-anga in Govardhani Todi.

The raga rests on a Desi base and is supplemented with two special interleaving strands, one drawn from Kafi – M’ P’ D’ n’ S – and the other inspired by Darbari – M’ P’ (n’)d’ (n’)d’ S. "

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That leaves the question open of how an older Todi with different phrases might have been constructed or what else could have happened through the centuries ...
Fortunately Joep Bor´s book states that during the time of Tansen the old Todi corresponded to today´s Bhairavi that . Can not find more info anywhere .

Would be interesting to know if someone has proposed new names like for Gaud Sarang into Din ki Bihag .

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

Anjani Todi

https://www.youtube.com/watch?v=qmolPW1wiO4 -- A Shenoy

s R m p n D p , m p N S
S R. n D p , d p m p , g R m g , R g S R n. s

Shades of 4 raags -

Bhimpalasi - m p n D p
Asavari - R m p S d p
Kafi - m p g R
Desi - R g S R n. s

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)

Anjani Todi

https://www.youtube.com/watch?v=qmolPW1wiO4 -- A Shenoy

From the video description :

" s R m p n D p , m p N S
S R. n D p , d p m p , g R m g , R g S R n. s

Shades of 4 raags -

Bhimpalasi - m p n D p
Asavari - R m p S d p
Kafi - m p g R
Desi - R g S R n. s "

--- SoupGate-Win32 v1.05
* Origin: fsxNet Usenet Gateway (21:1/5)