Q: Who is on roll? A: Blue.
The only way for White to reach the ending position is with bar/21 24/21. Coming off the bar means having been hit on the previous roll by two of Blue's men coming off the bar. If it's to be White on roll now then Blue must have had a roll after White made the anchor and that would have brought a further pair of Blue's men off the bar. However that's impossible as there are only three of Blue's men in White's home table.
I assume that any solution which puts men on the bar has to show how they got there.
Move number 1: White to play 11
| White | 22 | ||
|---|---|---|---|
                    | |||
| Blue | 94 | ||
| Position ID: FSCQCoAAAQAAAA Match ID: MIEkAAAAAAAE | |||
• White moves 15/14* 7/6*/5*/4*
Move number 2: Blue to play 42
| White | 18 | ||
|---|---|---|---|
    | |||
| Blue | 123 | ||
• Blue moves bar/23 bar/21*
Move number 3: White to play 61
| White | 39 | ||
|---|---|---|---|
   | |||
| Blue | 117 | ||
• White moves bar/24* 14/8*
Move number 4: Blue to play 65
| White | 32 | ||
|---|---|---|---|
 | |||
| Blue | 149 | ||
• Blue moves bar/20 bar/19
Move number 5: White to play 11
| White | 32 | ||
|---|---|---|---|
| |||
| Blue | 138 | ||
• White moves 8/6*/5*/4*
Move number 6: Blue to play 43
| White | 28 | ||
|---|---|---|---|
  | |||
| Blue | 153 | ||
• Blue moves bar/22 bar/21*
Move number 7: White to play 43
| White | 49 | ||
|---|---|---|---|
  | |||
| Blue | 146 | ||
• White moves bar/21 24/21
Final position: Blue on roll
| White | 42 | ||
|---|---|---|---|
  | |||
| Blue | 146 | ||
| White | Blue | |
| 1) | 11: 15/14* 7/6*/5*/4* | 42: bar/23 bar/21* |
| 2) | 61: bar/24* 14/8* | 65: bar/20 bar/19 |
| 3) | 11: 8/7/6*/5*/4* | 43: bar/22 bar/21* |
| 4) | 43: bar/21 24/21 |