Morning draws
TN
774
0588

TX
406
0609

String
44566778890000
123...........missing numbers

Analyzing the String: 44566778890000
This string can be grouped:

44 56 67 78 89 00 00
Each pair increases by 11 in total:

44 → 56 (+12)
56 → 67 (+11)
67 → 78 (+11)
78 → 89 (+11)
89 → 00 (looped or reset?)
00 → 00 (repeat)

Missing Numbers in 123...........
Trying to complete a sequence beginning with 123 and based on the above string or 
the TN/TX numbers.

If 123 is the start, maybe the pattern involves +11 like the pairs above:

123
134 (+11)
145 (+11)
156 (+11)

167
178
189
200

Yesterday's Predictions are good for today and the weekend

3 digits
114 115 119 120 123 124 125 127 128 133 
139 145 147 149 157 169 189 200 230 239 
249 250 259 279 300 350 360 389 449 459 
479 489 579 589 669 680 690 700 770 789 
800 900

Free 3 digits
223 225 234 235 238 255 257 258 277 345 348 
357 358 366 457 458 467 468 567 568 577 578 
579 588 666 678